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Finding the Fourth Proportional to 3,099.80, 4,649.70 and 2,005.40

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Solution

The fourth proportional to 3,099.80, 4,649.70 and 2,005.40 is: 3,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.80 : 4,649.70 = 2,005.40 : x
  2. Step 2: Convert to fraction form
    3,099.80/4,649.70 = 2,005.40/x
  3. Step 3: Cross multiply
    3,099.80x = 4,649.70 × 2,005.40
  4. Step 4: Simplify right side
    3,099.80x = 9,324,508.38
  5. Step 5: Solve for x
    x = 9,324,508.38/3,099.80
  6. Step 6: Final answer
    x = 3,008.10

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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.