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Finding the Fourth Proportional to 3,061.19, 4,591.63 and 869.64

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Solution

The fourth proportional to 3,061.19, 4,591.63 and 869.64 is: 1,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.19 : 4,591.63 = 869.64 : x
  2. Step 2: Convert to fraction form
    3,061.19/4,591.63 = 869.64/x
  3. Step 3: Cross multiply
    3,061.19x = 4,591.63 × 869.64
  4. Step 4: Simplify right side
    3,061.19x = 3,993,065.11
  5. Step 5: Solve for x
    x = 3,993,065.11/3,061.19
  6. Step 6: Final answer
    x = 1,304.42

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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.