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Finding the Fourth Proportional to 2,898.96, 4,348.20 and 818.88

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Solution

The fourth proportional to 2,898.96, 4,348.20 and 818.88 is: 1,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.96 : 4,348.20 = 818.88 : x
  2. Step 2: Convert to fraction form
    2,898.96/4,348.20 = 818.88/x
  3. Step 3: Cross multiply
    2,898.96x = 4,348.20 × 818.88
  4. Step 4: Simplify right side
    2,898.96x = 3,560,654.02
  5. Step 5: Solve for x
    x = 3,560,654.02/2,898.96
  6. Step 6: Final answer
    x = 1,228.25

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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.