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Finding the Fourth Proportional to 3,233.60, 4,850.40 and 925.10

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Solution

The fourth proportional to 3,233.60, 4,850.40 and 925.10 is: 1,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.60 : 4,850.40 = 925.10 : x
  2. Step 2: Convert to fraction form
    3,233.60/4,850.40 = 925.10/x
  3. Step 3: Cross multiply
    3,233.60x = 4,850.40 × 925.10
  4. Step 4: Simplify right side
    3,233.60x = 4,487,105.04
  5. Step 5: Solve for x
    x = 4,487,105.04/3,233.60
  6. Step 6: Final answer
    x = 1,387.65

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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.