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Finding the Fourth Proportional to 3,248.52, 4,872.84 and 940

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Solution

The fourth proportional to 3,248.52, 4,872.84 and 940 is: 1,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.52 : 4,872.84 = 940 : x
  2. Step 2: Convert to fraction form
    3,248.52/4,872.84 = 940/x
  3. Step 3: Cross multiply
    3,248.52x = 4,872.84 × 940
  4. Step 4: Simplify right side
    3,248.52x = 4,580,469.60
  5. Step 5: Solve for x
    x = 4,580,469.60/3,248.52
  6. Step 6: Final answer
    x = 1,410.02

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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.