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Finding the Fourth Proportional to 2,063.97, 2,848.13 and 1,132.53

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Solution

The fourth proportional to 2,063.97, 2,848.13 and 1,132.53 is: 1,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.97 : 2,848.13 = 1,132.53 : x
  2. Step 2: Convert to fraction form
    2,063.97/2,848.13 = 1,132.53/x
  3. Step 3: Cross multiply
    2,063.97x = 2,848.13 × 1,132.53
  4. Step 4: Simplify right side
    2,063.97x = 3,225,581.26
  5. Step 5: Solve for x
    x = 3,225,581.26/2,063.97
  6. Step 6: Final answer
    x = 1,562.81

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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.