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Finding the Fourth Proportional to 1,691.88, 2,538.98 and 596.24

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Solution

The fourth proportional to 1,691.88, 2,538.98 and 596.24 is: 894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.88 : 2,538.98 = 596.24 : x
  2. Step 2: Convert to fraction form
    1,691.88/2,538.98 = 596.24/x
  3. Step 3: Cross multiply
    1,691.88x = 2,538.98 × 596.24
  4. Step 4: Simplify right side
    1,691.88x = 1,513,841.44
  5. Step 5: Solve for x
    x = 1,513,841.44/1,691.88
  6. Step 6: Final answer
    x = 894.77

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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.