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Finding the Fourth Proportional to 3,098.58, 4,269.69 and 2,103.90

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Solution

The fourth proportional to 3,098.58, 4,269.69 and 2,103.90 is: 2,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.58 : 4,269.69 = 2,103.90 : x
  2. Step 2: Convert to fraction form
    3,098.58/4,269.69 = 2,103.90/x
  3. Step 3: Cross multiply
    3,098.58x = 4,269.69 × 2,103.90
  4. Step 4: Simplify right side
    3,098.58x = 8,983,000.79
  5. Step 5: Solve for x
    x = 8,983,000.79/3,098.58
  6. Step 6: Final answer
    x = 2,899.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.