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Finding the Fourth Proportional to 1,882.71, 2,597.67 and 1,096.61

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Solution

The fourth proportional to 1,882.71, 2,597.67 and 1,096.61 is: 1,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.71 : 2,597.67 = 1,096.61 : x
  2. Step 2: Convert to fraction form
    1,882.71/2,597.67 = 1,096.61/x
  3. Step 3: Cross multiply
    1,882.71x = 2,597.67 × 1,096.61
  4. Step 4: Simplify right side
    1,882.71x = 2,848,617.91
  5. Step 5: Solve for x
    x = 2,848,617.91/1,882.71
  6. Step 6: Final answer
    x = 1,513.04

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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.