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Finding the Fourth Proportional to 2,200.88, 3,301.54 and 814.58

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Solution

The fourth proportional to 2,200.88, 3,301.54 and 814.58 is: 1,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.88 : 3,301.54 = 814.58 : x
  2. Step 2: Convert to fraction form
    2,200.88/3,301.54 = 814.58/x
  3. Step 3: Cross multiply
    2,200.88x = 3,301.54 × 814.58
  4. Step 4: Simplify right side
    2,200.88x = 2,689,368.45
  5. Step 5: Solve for x
    x = 2,689,368.45/2,200.88
  6. Step 6: Final answer
    x = 1,221.95

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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.