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Finding the Fourth Proportional to 2,685.47, 3,706.02 and 1,506.63

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Solution

The fourth proportional to 2,685.47, 3,706.02 and 1,506.63 is: 2,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.47 : 3,706.02 = 1,506.63 : x
  2. Step 2: Convert to fraction form
    2,685.47/3,706.02 = 1,506.63/x
  3. Step 3: Cross multiply
    2,685.47x = 3,706.02 × 1,506.63
  4. Step 4: Simplify right side
    2,685.47x = 5,583,593.38
  5. Step 5: Solve for x
    x = 5,583,593.38/2,685.47
  6. Step 6: Final answer
    x = 2,079.19

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Half scale
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Double scale
Find fourth proportional to 2,686.47, 3,707.40 and 1,507.63
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.