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Finding the Fourth Proportional to 2,818.74, 4,228.35 and 738.73

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Solution

The fourth proportional to 2,818.74, 4,228.35 and 738.73 is: 1,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.74 : 4,228.35 = 738.73 : x
  2. Step 2: Convert to fraction form
    2,818.74/4,228.35 = 738.73/x
  3. Step 3: Cross multiply
    2,818.74x = 4,228.35 × 738.73
  4. Step 4: Simplify right side
    2,818.74x = 3,123,609.00
  5. Step 5: Solve for x
    x = 3,123,609.00/2,818.74
  6. Step 6: Final answer
    x = 1,108.16

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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.