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Finding the Fourth Proportional to 2,344.47, 3,517.21 and 701.15

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Solution

The fourth proportional to 2,344.47, 3,517.21 and 701.15 is: 1,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.47 : 3,517.21 = 701.15 : x
  2. Step 2: Convert to fraction form
    2,344.47/3,517.21 = 701.15/x
  3. Step 3: Cross multiply
    2,344.47x = 3,517.21 × 701.15
  4. Step 4: Simplify right side
    2,344.47x = 2,466,091.79
  5. Step 5: Solve for x
    x = 2,466,091.79/2,344.47
  6. Step 6: Final answer
    x = 1,051.88

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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.