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Finding the Fourth Proportional to 2,221.44, 3,332.48 and 815.92

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Solution

The fourth proportional to 2,221.44, 3,332.48 and 815.92 is: 1,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.44 : 3,332.48 = 815.92 : x
  2. Step 2: Convert to fraction form
    2,221.44/3,332.48 = 815.92/x
  3. Step 3: Cross multiply
    2,221.44x = 3,332.48 × 815.92
  4. Step 4: Simplify right side
    2,221.44x = 2,719,043.42
  5. Step 5: Solve for x
    x = 2,719,043.42/2,221.44
  6. Step 6: Final answer
    x = 1,224.00

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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.