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Finding the Fourth Proportional to 2,710.56, 4,066.60 and 762.78

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Solution

The fourth proportional to 2,710.56, 4,066.60 and 762.78 is: 1,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.56 : 4,066.60 = 762.78 : x
  2. Step 2: Convert to fraction form
    2,710.56/4,066.60 = 762.78/x
  3. Step 3: Cross multiply
    2,710.56x = 4,066.60 × 762.78
  4. Step 4: Simplify right side
    2,710.56x = 3,101,921.15
  5. Step 5: Solve for x
    x = 3,101,921.15/2,710.56
  6. Step 6: Final answer
    x = 1,144.38

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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.