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Finding the Fourth Proportional to 2,765.67, 4,148.69 and 1,034.25

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Solution

The fourth proportional to 2,765.67, 4,148.69 and 1,034.25 is: 1,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.67 : 4,148.69 = 1,034.25 : x
  2. Step 2: Convert to fraction form
    2,765.67/4,148.69 = 1,034.25/x
  3. Step 3: Cross multiply
    2,765.67x = 4,148.69 × 1,034.25
  4. Step 4: Simplify right side
    2,765.67x = 4,290,777.46
  5. Step 5: Solve for x
    x = 4,290,777.46/2,765.67
  6. Step 6: Final answer
    x = 1,551.44

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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.