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Finding the Fourth Proportional to 3,121.53, 4,681.74 and 1,366.20

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Solution

The fourth proportional to 3,121.53, 4,681.74 and 1,366.20 is: 2,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.53 : 4,681.74 = 1,366.20 : x
  2. Step 2: Convert to fraction form
    3,121.53/4,681.74 = 1,366.20/x
  3. Step 3: Cross multiply
    3,121.53x = 4,681.74 × 1,366.20
  4. Step 4: Simplify right side
    3,121.53x = 6,396,193.19
  5. Step 5: Solve for x
    x = 6,396,193.19/3,121.53
  6. Step 6: Final answer
    x = 2,049.06

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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.