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Finding the Fourth Proportional to 2,872.95, 4,309.31 and 925.11

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Solution

The fourth proportional to 2,872.95, 4,309.31 and 925.11 is: 1,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.95 : 4,309.31 = 925.11 : x
  2. Step 2: Convert to fraction form
    2,872.95/4,309.31 = 925.11/x
  3. Step 3: Cross multiply
    2,872.95x = 4,309.31 × 925.11
  4. Step 4: Simplify right side
    2,872.95x = 3,986,581.15
  5. Step 5: Solve for x
    x = 3,986,581.15/2,872.95
  6. Step 6: Final answer
    x = 1,387.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.