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Finding the Fourth Proportional to 2,098.96, 3,148.55 and 800.53

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Solution

The fourth proportional to 2,098.96, 3,148.55 and 800.53 is: 1,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.96 : 3,148.55 = 800.53 : x
  2. Step 2: Convert to fraction form
    2,098.96/3,148.55 = 800.53/x
  3. Step 3: Cross multiply
    2,098.96x = 3,148.55 × 800.53
  4. Step 4: Simplify right side
    2,098.96x = 2,520,504.73
  5. Step 5: Solve for x
    x = 2,520,504.73/2,098.96
  6. Step 6: Final answer
    x = 1,200.84

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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.