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Finding the Fourth Proportional to 3,098.44, 4,270.08 and 2,103.76

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Solution

The fourth proportional to 3,098.44, 4,270.08 and 2,103.76 is: 2,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.44 : 4,270.08 = 2,103.76 : x
  2. Step 2: Convert to fraction form
    3,098.44/4,270.08 = 2,103.76/x
  3. Step 3: Cross multiply
    3,098.44x = 4,270.08 × 2,103.76
  4. Step 4: Simplify right side
    3,098.44x = 8,983,223.50
  5. Step 5: Solve for x
    x = 8,983,223.50/3,098.44
  6. Step 6: Final answer
    x = 2,899.27

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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.