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Finding the Fourth Proportional to 1,751.31, 2,417.17 and 1,005.78

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Solution

The fourth proportional to 1,751.31, 2,417.17 and 1,005.78 is: 1,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.31 : 2,417.17 = 1,005.78 : x
  2. Step 2: Convert to fraction form
    1,751.31/2,417.17 = 1,005.78/x
  3. Step 3: Cross multiply
    1,751.31x = 2,417.17 × 1,005.78
  4. Step 4: Simplify right side
    1,751.31x = 2,431,146.85
  5. Step 5: Solve for x
    x = 2,431,146.85/1,751.31
  6. Step 6: Final answer
    x = 1,388.19

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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.