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Finding the Fourth Proportional to 1,356.28, 2,031.57 and 862.44

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Solution

The fourth proportional to 1,356.28, 2,031.57 and 862.44 is: 1,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.28 : 2,031.57 = 862.44 : x
  2. Step 2: Convert to fraction form
    1,356.28/2,031.57 = 862.44/x
  3. Step 3: Cross multiply
    1,356.28x = 2,031.57 × 862.44
  4. Step 4: Simplify right side
    1,356.28x = 1,752,099.61
  5. Step 5: Solve for x
    x = 1,752,099.61/1,356.28
  6. Step 6: Final answer
    x = 1,291.84

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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.