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Finding the Fourth Proportional to 2,027.33, 3,041.03 and 566.60

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Solution

The fourth proportional to 2,027.33, 3,041.03 and 566.60 is: 849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.33 : 3,041.03 = 566.60 : x
  2. Step 2: Convert to fraction form
    2,027.33/3,041.03 = 566.60/x
  3. Step 3: Cross multiply
    2,027.33x = 3,041.03 × 566.60
  4. Step 4: Simplify right side
    2,027.33x = 1,723,047.60
  5. Step 5: Solve for x
    x = 1,723,047.60/2,027.33
  6. Step 6: Final answer
    x = 849.91

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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.