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Finding the Fourth Proportional to 2,862.46, 4,294.52 and 914.82

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Solution

The fourth proportional to 2,862.46, 4,294.52 and 914.82 is: 1,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.46 : 4,294.52 = 914.82 : x
  2. Step 2: Convert to fraction form
    2,862.46/4,294.52 = 914.82/x
  3. Step 3: Cross multiply
    2,862.46x = 4,294.52 × 914.82
  4. Step 4: Simplify right side
    2,862.46x = 3,928,712.79
  5. Step 5: Solve for x
    x = 3,928,712.79/2,862.46
  6. Step 6: Final answer
    x = 1,372.50

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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.