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Finding the Fourth Proportional to 2,027.68, 3,041.55 and 566.81

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Solution

The fourth proportional to 2,027.68, 3,041.55 and 566.81 is: 850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.68 : 3,041.55 = 566.81 : x
  2. Step 2: Convert to fraction form
    2,027.68/3,041.55 = 566.81/x
  3. Step 3: Cross multiply
    2,027.68x = 3,041.55 × 566.81
  4. Step 4: Simplify right side
    2,027.68x = 1,723,980.96
  5. Step 5: Solve for x
    x = 1,723,980.96/2,027.68
  6. Step 6: Final answer
    x = 850.22

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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.