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Finding the Fourth Proportional to 3,248.46, 4,872.67 and 783.27

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Solution

The fourth proportional to 3,248.46, 4,872.67 and 783.27 is: 1,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.46 : 4,872.67 = 783.27 : x
  2. Step 2: Convert to fraction form
    3,248.46/4,872.67 = 783.27/x
  3. Step 3: Cross multiply
    3,248.46x = 4,872.67 × 783.27
  4. Step 4: Simplify right side
    3,248.46x = 3,816,614.27
  5. Step 5: Solve for x
    x = 3,816,614.27/3,248.46
  6. Step 6: Final answer
    x = 1,174.90

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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.