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Finding the Fourth Proportional to 2,527.64, 3,789.84 and 1,659.32

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Solution

The fourth proportional to 2,527.64, 3,789.84 and 1,659.32 is: 2,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.64 : 3,789.84 = 1,659.32 : x
  2. Step 2: Convert to fraction form
    2,527.64/3,789.84 = 1,659.32/x
  3. Step 3: Cross multiply
    2,527.64x = 3,789.84 × 1,659.32
  4. Step 4: Simplify right side
    2,527.64x = 6,288,557.31
  5. Step 5: Solve for x
    x = 6,288,557.31/2,527.64
  6. Step 6: Final answer
    x = 2,487.92

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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.