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Finding the Fourth Proportional to 1,685.47, 2,325.96 and 939.47

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Solution

The fourth proportional to 1,685.47, 2,325.96 and 939.47 is: 1,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.47 : 2,325.96 = 939.47 : x
  2. Step 2: Convert to fraction form
    1,685.47/2,325.96 = 939.47/x
  3. Step 3: Cross multiply
    1,685.47x = 2,325.96 × 939.47
  4. Step 4: Simplify right side
    1,685.47x = 2,185,170.76
  5. Step 5: Solve for x
    x = 2,185,170.76/1,685.47
  6. Step 6: Final answer
    x = 1,296.48

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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.