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Finding the Fourth Proportional to 1,686.56, 2,532 and 1,414.40

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Solution

The fourth proportional to 1,686.56, 2,532 and 1,414.40 is: 2,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.56 : 2,532 = 1,414.40 : x
  2. Step 2: Convert to fraction form
    1,686.56/2,532 = 1,414.40/x
  3. Step 3: Cross multiply
    1,686.56x = 2,532 × 1,414.40
  4. Step 4: Simplify right side
    1,686.56x = 3,581,260.80
  5. Step 5: Solve for x
    x = 3,581,260.80/1,686.56
  6. Step 6: Final answer
    x = 2,123.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.