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Finding the Fourth Proportional to 2,098.01, 3,144.85 and 1,123.85

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Solution

The fourth proportional to 2,098.01, 3,144.85 and 1,123.85 is: 1,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.01 : 3,144.85 = 1,123.85 : x
  2. Step 2: Convert to fraction form
    2,098.01/3,144.85 = 1,123.85/x
  3. Step 3: Cross multiply
    2,098.01x = 3,144.85 × 1,123.85
  4. Step 4: Simplify right side
    2,098.01x = 3,534,339.67
  5. Step 5: Solve for x
    x = 3,534,339.67/2,098.01
  6. Step 6: Final answer
    x = 1,684.62

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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.