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Finding the Fourth Proportional to 2,353.62, 3,531.24 and 710.55

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Solution

The fourth proportional to 2,353.62, 3,531.24 and 710.55 is: 1,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.62 : 3,531.24 = 710.55 : x
  2. Step 2: Convert to fraction form
    2,353.62/3,531.24 = 710.55/x
  3. Step 3: Cross multiply
    2,353.62x = 3,531.24 × 710.55
  4. Step 4: Simplify right side
    2,353.62x = 2,509,122.58
  5. Step 5: Solve for x
    x = 2,509,122.58/2,353.62
  6. Step 6: Final answer
    x = 1,066.07

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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.