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Finding the Fourth Proportional to 2,685.59, 3,706.46 and 1,506.66

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Solution

The fourth proportional to 2,685.59, 3,706.46 and 1,506.66 is: 2,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.59 : 3,706.46 = 1,506.66 : x
  2. Step 2: Convert to fraction form
    2,685.59/3,706.46 = 1,506.66/x
  3. Step 3: Cross multiply
    2,685.59x = 3,706.46 × 1,506.66
  4. Step 4: Simplify right side
    2,685.59x = 5,584,359.24
  5. Step 5: Solve for x
    x = 5,584,359.24/2,685.59
  6. Step 6: Final answer
    x = 2,079.38

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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.