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Finding the Fourth Proportional to 2,066.28, 3,098.46 and 1,200.84

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Solution

The fourth proportional to 2,066.28, 3,098.46 and 1,200.84 is: 1,800.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.28 : 3,098.46 = 1,200.84 : x
  2. Step 2: Convert to fraction form
    2,066.28/3,098.46 = 1,200.84/x
  3. Step 3: Cross multiply
    2,066.28x = 3,098.46 × 1,200.84
  4. Step 4: Simplify right side
    2,066.28x = 3,720,754.71
  5. Step 5: Solve for x
    x = 3,720,754.71/2,066.28
  6. Step 6: Final answer
    x = 1,800.70

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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.