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Finding the Fourth Proportional to 2,098.41, 3,143.29 and 1,230.63

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Solution

The fourth proportional to 2,098.41, 3,143.29 and 1,230.63 is: 1,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.41 : 3,143.29 = 1,230.63 : x
  2. Step 2: Convert to fraction form
    2,098.41/3,143.29 = 1,230.63/x
  3. Step 3: Cross multiply
    2,098.41x = 3,143.29 × 1,230.63
  4. Step 4: Simplify right side
    2,098.41x = 3,868,205.10
  5. Step 5: Solve for x
    x = 3,868,205.10/2,098.41
  6. Step 6: Final answer
    x = 1,843.40

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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.