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Finding the Fourth Proportional to 2,345.42, 3,517.49 and 701.93

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Solution

The fourth proportional to 2,345.42, 3,517.49 and 701.93 is: 1,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.42 : 3,517.49 = 701.93 : x
  2. Step 2: Convert to fraction form
    2,345.42/3,517.49 = 701.93/x
  3. Step 3: Cross multiply
    2,345.42x = 3,517.49 × 701.93
  4. Step 4: Simplify right side
    2,345.42x = 2,469,042.30
  5. Step 5: Solve for x
    x = 2,469,042.30/2,345.42
  6. Step 6: Final answer
    x = 1,052.71

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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.