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Finding the Fourth Proportional to 2,098.45, 3,145.85 and 1,230.94

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Solution

The fourth proportional to 2,098.45, 3,145.85 and 1,230.94 is: 1,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.45 : 3,145.85 = 1,230.94 : x
  2. Step 2: Convert to fraction form
    2,098.45/3,145.85 = 1,230.94/x
  3. Step 3: Cross multiply
    2,098.45x = 3,145.85 × 1,230.94
  4. Step 4: Simplify right side
    2,098.45x = 3,872,338.58
  5. Step 5: Solve for x
    x = 3,872,338.58/2,098.45
  6. Step 6: Final answer
    x = 1,845.33

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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.