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Finding the Fourth Proportional to 2,066.77, 3,100.22 and 750.79

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Solution

The fourth proportional to 2,066.77, 3,100.22 and 750.79 is: 1,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.77 : 3,100.22 = 750.79 : x
  2. Step 2: Convert to fraction form
    2,066.77/3,100.22 = 750.79/x
  3. Step 3: Cross multiply
    2,066.77x = 3,100.22 × 750.79
  4. Step 4: Simplify right side
    2,066.77x = 2,327,614.17
  5. Step 5: Solve for x
    x = 2,327,614.17/2,066.77
  6. Step 6: Final answer
    x = 1,126.21

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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.