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Finding the Fourth Proportional to 2,351.59, 3,527.46 and 708.13

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Solution

The fourth proportional to 2,351.59, 3,527.46 and 708.13 is: 1,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.59 : 3,527.46 = 708.13 : x
  2. Step 2: Convert to fraction form
    2,351.59/3,527.46 = 708.13/x
  3. Step 3: Cross multiply
    2,351.59x = 3,527.46 × 708.13
  4. Step 4: Simplify right side
    2,351.59x = 2,497,900.25
  5. Step 5: Solve for x
    x = 2,497,900.25/2,351.59
  6. Step 6: Final answer
    x = 1,062.22

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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.