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Finding the Fourth Proportional to 2,063.63, 2,847.95 and 1,132.13

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Solution

The fourth proportional to 2,063.63, 2,847.95 and 1,132.13 is: 1,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.63 : 2,847.95 = 1,132.13 : x
  2. Step 2: Convert to fraction form
    2,063.63/2,847.95 = 1,132.13/x
  3. Step 3: Cross multiply
    2,063.63x = 2,847.95 × 1,132.13
  4. Step 4: Simplify right side
    2,063.63x = 3,224,229.73
  5. Step 5: Solve for x
    x = 3,224,229.73/2,063.63
  6. Step 6: Final answer
    x = 1,562.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.