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Finding the Fourth Proportional to 2,867.67, 4,302.12 and 921.24

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Solution

The fourth proportional to 2,867.67, 4,302.12 and 921.24 is: 1,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.67 : 4,302.12 = 921.24 : x
  2. Step 2: Convert to fraction form
    2,867.67/4,302.12 = 921.24/x
  3. Step 3: Cross multiply
    2,867.67x = 4,302.12 × 921.24
  4. Step 4: Simplify right side
    2,867.67x = 3,963,280.42
  5. Step 5: Solve for x
    x = 3,963,280.42/2,867.67
  6. Step 6: Final answer
    x = 1,382.06

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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.