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Finding the Fourth Proportional to 2,564.46, 3,843.72 and 1,248.86

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Solution

The fourth proportional to 2,564.46, 3,843.72 and 1,248.86 is: 1,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.46 : 3,843.72 = 1,248.86 : x
  2. Step 2: Convert to fraction form
    2,564.46/3,843.72 = 1,248.86/x
  3. Step 3: Cross multiply
    2,564.46x = 3,843.72 × 1,248.86
  4. Step 4: Simplify right side
    2,564.46x = 4,800,268.16
  5. Step 5: Solve for x
    x = 4,800,268.16/2,564.46
  6. Step 6: Final answer
    x = 1,871.84

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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.