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Finding the Fourth Proportional to 2,027.59, 3,041.39 and 566.76

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Solution

The fourth proportional to 2,027.59, 3,041.39 and 566.76 is: 850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.59 : 3,041.39 = 566.76 : x
  2. Step 2: Convert to fraction form
    2,027.59/3,041.39 = 566.76/x
  3. Step 3: Cross multiply
    2,027.59x = 3,041.39 × 566.76
  4. Step 4: Simplify right side
    2,027.59x = 1,723,728.21
  5. Step 5: Solve for x
    x = 1,723,728.21/2,027.59
  6. Step 6: Final answer
    x = 850.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.