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Finding the Fourth Proportional to 1,747.08, 2,411.02 and 1,001.08

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Solution

The fourth proportional to 1,747.08, 2,411.02 and 1,001.08 is: 1,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.08 : 2,411.02 = 1,001.08 : x
  2. Step 2: Convert to fraction form
    1,747.08/2,411.02 = 1,001.08/x
  3. Step 3: Cross multiply
    1,747.08x = 2,411.02 × 1,001.08
  4. Step 4: Simplify right side
    1,747.08x = 2,413,623.90
  5. Step 5: Solve for x
    x = 2,413,623.90/1,747.08
  6. Step 6: Final answer
    x = 1,381.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.