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Finding the Fourth Proportional to 2,527.88, 3,488.76 and 1,533.12

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Solution

The fourth proportional to 2,527.88, 3,488.76 and 1,533.12 is: 2,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.88 : 3,488.76 = 1,533.12 : x
  2. Step 2: Convert to fraction form
    2,527.88/3,488.76 = 1,533.12/x
  3. Step 3: Cross multiply
    2,527.88x = 3,488.76 × 1,533.12
  4. Step 4: Simplify right side
    2,527.88x = 5,348,687.73
  5. Step 5: Solve for x
    x = 5,348,687.73/2,527.88
  6. Step 6: Final answer
    x = 2,115.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.