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Finding the Fourth Proportional to 2,809.98, 4,215.78 and 862.47

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Solution

The fourth proportional to 2,809.98, 4,215.78 and 862.47 is: 1,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.98 : 4,215.78 = 862.47 : x
  2. Step 2: Convert to fraction form
    2,809.98/4,215.78 = 862.47/x
  3. Step 3: Cross multiply
    2,809.98x = 4,215.78 × 862.47
  4. Step 4: Simplify right side
    2,809.98x = 3,635,983.78
  5. Step 5: Solve for x
    x = 3,635,983.78/2,809.98
  6. Step 6: Final answer
    x = 1,293.95

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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.