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Finding the Fourth Proportional to 2,731.59, 4,095.36 and 881.69

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Solution

The fourth proportional to 2,731.59, 4,095.36 and 881.69 is: 1,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.59 : 4,095.36 = 881.69 : x
  2. Step 2: Convert to fraction form
    2,731.59/4,095.36 = 881.69/x
  3. Step 3: Cross multiply
    2,731.59x = 4,095.36 × 881.69
  4. Step 4: Simplify right side
    2,731.59x = 3,610,817.48
  5. Step 5: Solve for x
    x = 3,610,817.48/2,731.59
  6. Step 6: Final answer
    x = 1,321.87

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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.