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Finding the Fourth Proportional to 3,248.01, 4,871.61 and 1,398.78

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Solution

The fourth proportional to 3,248.01, 4,871.61 and 1,398.78 is: 2,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.01 : 4,871.61 = 1,398.78 : x
  2. Step 2: Convert to fraction form
    3,248.01/4,871.61 = 1,398.78/x
  3. Step 3: Cross multiply
    3,248.01x = 4,871.61 × 1,398.78
  4. Step 4: Simplify right side
    3,248.01x = 6,814,310.64
  5. Step 5: Solve for x
    x = 6,814,310.64/3,248.01
  6. Step 6: Final answer
    x = 2,098.00

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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.