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Finding the Fourth Proportional to 3,061.14, 4,591.88 and 869.69

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Solution

The fourth proportional to 3,061.14, 4,591.88 and 869.69 is: 1,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.14 : 4,591.88 = 869.69 : x
  2. Step 2: Convert to fraction form
    3,061.14/4,591.88 = 869.69/x
  3. Step 3: Cross multiply
    3,061.14x = 4,591.88 × 869.69
  4. Step 4: Simplify right side
    3,061.14x = 3,993,512.12
  5. Step 5: Solve for x
    x = 3,993,512.12/3,061.14
  6. Step 6: Final answer
    x = 1,304.58

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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.