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Finding the Fourth Proportional to 3,061.05, 4,591.49 and 869.75

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Solution

The fourth proportional to 3,061.05, 4,591.49 and 869.75 is: 1,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.05 : 4,591.49 = 869.75 : x
  2. Step 2: Convert to fraction form
    3,061.05/4,591.49 = 869.75/x
  3. Step 3: Cross multiply
    3,061.05x = 4,591.49 × 869.75
  4. Step 4: Simplify right side
    3,061.05x = 3,993,448.43
  5. Step 5: Solve for x
    x = 3,993,448.43/3,061.05
  6. Step 6: Final answer
    x = 1,304.60

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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.