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Finding the Fourth Proportional to 2,527.61, 3,789.02 and 883.09

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Solution

The fourth proportional to 2,527.61, 3,789.02 and 883.09 is: 1,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.61 : 3,789.02 = 883.09 : x
  2. Step 2: Convert to fraction form
    2,527.61/3,789.02 = 883.09/x
  3. Step 3: Cross multiply
    2,527.61x = 3,789.02 × 883.09
  4. Step 4: Simplify right side
    2,527.61x = 3,346,022.31
  5. Step 5: Solve for x
    x = 3,346,022.31/2,527.61
  6. Step 6: Final answer
    x = 1,323.79

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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.