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Finding the Fourth Proportional to 2,345.24, 3,517.80 and 613.88

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Solution

The fourth proportional to 2,345.24, 3,517.80 and 613.88 is: 920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.24 : 3,517.80 = 613.88 : x
  2. Step 2: Convert to fraction form
    2,345.24/3,517.80 = 613.88/x
  3. Step 3: Cross multiply
    2,345.24x = 3,517.80 × 613.88
  4. Step 4: Simplify right side
    2,345.24x = 2,159,507.06
  5. Step 5: Solve for x
    x = 2,159,507.06/2,345.24
  6. Step 6: Final answer
    x = 920.80

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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.