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Finding the Fourth Proportional to 2,099.46, 3,149.28 and 800.76

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Solution

The fourth proportional to 2,099.46, 3,149.28 and 800.76 is: 1,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.46 : 3,149.28 = 800.76 : x
  2. Step 2: Convert to fraction form
    2,099.46/3,149.28 = 800.76/x
  3. Step 3: Cross multiply
    2,099.46x = 3,149.28 × 800.76
  4. Step 4: Simplify right side
    2,099.46x = 2,521,817.45
  5. Step 5: Solve for x
    x = 2,521,817.45/2,099.46
  6. Step 6: Final answer
    x = 1,201.17

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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.