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Finding the Fourth Proportional to 2,027.46, 3,041.20 and 566.74

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Solution

The fourth proportional to 2,027.46, 3,041.20 and 566.74 is: 850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.46 : 3,041.20 = 566.74 : x
  2. Step 2: Convert to fraction form
    2,027.46/3,041.20 = 566.74/x
  3. Step 3: Cross multiply
    2,027.46x = 3,041.20 × 566.74
  4. Step 4: Simplify right side
    2,027.46x = 1,723,569.69
  5. Step 5: Solve for x
    x = 1,723,569.69/2,027.46
  6. Step 6: Final answer
    x = 850.11

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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.