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Finding the Fourth Proportional to 1,747.70, 2,411.14 and 1,001.26

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Solution

The fourth proportional to 1,747.70, 2,411.14 and 1,001.26 is: 1,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.70 : 2,411.14 = 1,001.26 : x
  2. Step 2: Convert to fraction form
    1,747.70/2,411.14 = 1,001.26/x
  3. Step 3: Cross multiply
    1,747.70x = 2,411.14 × 1,001.26
  4. Step 4: Simplify right side
    1,747.70x = 2,414,178.04
  5. Step 5: Solve for x
    x = 2,414,178.04/1,747.70
  6. Step 6: Final answer
    x = 1,381.35

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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.