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Finding the Fourth Proportional to 3,253.92, 4,880.24 and 945.44

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Solution

The fourth proportional to 3,253.92, 4,880.24 and 945.44 is: 1,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.92 : 4,880.24 = 945.44 : x
  2. Step 2: Convert to fraction form
    3,253.92/4,880.24 = 945.44/x
  3. Step 3: Cross multiply
    3,253.92x = 4,880.24 × 945.44
  4. Step 4: Simplify right side
    3,253.92x = 4,613,974.11
  5. Step 5: Solve for x
    x = 4,613,974.11/3,253.92
  6. Step 6: Final answer
    x = 1,417.97

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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.