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Finding the Fourth Proportional to 1,761.17, 2,642.30 and 1,029.20

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Solution

The fourth proportional to 1,761.17, 2,642.30 and 1,029.20 is: 1,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.17 : 2,642.30 = 1,029.20 : x
  2. Step 2: Convert to fraction form
    1,761.17/2,642.30 = 1,029.20/x
  3. Step 3: Cross multiply
    1,761.17x = 2,642.30 × 1,029.20
  4. Step 4: Simplify right side
    1,761.17x = 2,719,450.01
  5. Step 5: Solve for x
    x = 2,719,450.01/1,761.17
  6. Step 6: Final answer
    x = 1,544.12

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