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Finding the Fourth Proportional to 1,732.85, 2,389.14 and 1,260.38

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Solution

The fourth proportional to 1,732.85, 2,389.14 and 1,260.38 is: 1,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.85 : 2,389.14 = 1,260.38 : x
  2. Step 2: Convert to fraction form
    1,732.85/2,389.14 = 1,260.38/x
  3. Step 3: Cross multiply
    1,732.85x = 2,389.14 × 1,260.38
  4. Step 4: Simplify right side
    1,732.85x = 3,011,224.27
  5. Step 5: Solve for x
    x = 3,011,224.27/1,732.85
  6. Step 6: Final answer
    x = 1,737.73

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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.