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Finding the Fourth Proportional to 1,759.62, 2,642.10 and 1,397.35

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Solution

The fourth proportional to 1,759.62, 2,642.10 and 1,397.35 is: 2,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.62 : 2,642.10 = 1,397.35 : x
  2. Step 2: Convert to fraction form
    1,759.62/2,642.10 = 1,397.35/x
  3. Step 3: Cross multiply
    1,759.62x = 2,642.10 × 1,397.35
  4. Step 4: Simplify right side
    1,759.62x = 3,691,918.24
  5. Step 5: Solve for x
    x = 3,691,918.24/1,759.62
  6. Step 6: Final answer
    x = 2,098.13

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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.