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Finding the Fourth Proportional to 2,818.43, 4,227.59 and 944.45

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Solution

The fourth proportional to 2,818.43, 4,227.59 and 944.45 is: 1,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.43 : 4,227.59 = 944.45 : x
  2. Step 2: Convert to fraction form
    2,818.43/4,227.59 = 944.45/x
  3. Step 3: Cross multiply
    2,818.43x = 4,227.59 × 944.45
  4. Step 4: Simplify right side
    2,818.43x = 3,992,726.24
  5. Step 5: Solve for x
    x = 3,992,726.24/2,818.43
  6. Step 6: Final answer
    x = 1,416.65

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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.