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Finding the Fourth Proportional to 2,154.13, 3,231.20 and 615.13

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Solution

The fourth proportional to 2,154.13, 3,231.20 and 615.13 is: 922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.13 : 3,231.20 = 615.13 : x
  2. Step 2: Convert to fraction form
    2,154.13/3,231.20 = 615.13/x
  3. Step 3: Cross multiply
    2,154.13x = 3,231.20 × 615.13
  4. Step 4: Simplify right side
    2,154.13x = 1,987,608.06
  5. Step 5: Solve for x
    x = 1,987,608.06/2,154.13
  6. Step 6: Final answer
    x = 922.70

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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.