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Finding the Fourth Proportional to 2,527.52, 3,791.70 and 885.06

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Solution

The fourth proportional to 2,527.52, 3,791.70 and 885.06 is: 1,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.52 : 3,791.70 = 885.06 : x
  2. Step 2: Convert to fraction form
    2,527.52/3,791.70 = 885.06/x
  3. Step 3: Cross multiply
    2,527.52x = 3,791.70 × 885.06
  4. Step 4: Simplify right side
    2,527.52x = 3,355,882.00
  5. Step 5: Solve for x
    x = 3,355,882.00/2,527.52
  6. Step 6: Final answer
    x = 1,327.74

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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.