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Finding the Fourth Proportional to 1,774.38, 2,660.69 and 1,034.24

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Solution

The fourth proportional to 1,774.38, 2,660.69 and 1,034.24 is: 1,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.38 : 2,660.69 = 1,034.24 : x
  2. Step 2: Convert to fraction form
    1,774.38/2,660.69 = 1,034.24/x
  3. Step 3: Cross multiply
    1,774.38x = 2,660.69 × 1,034.24
  4. Step 4: Simplify right side
    1,774.38x = 2,751,773.55
  5. Step 5: Solve for x
    x = 2,751,773.55/1,774.38
  6. Step 6: Final answer
    x = 1,550.84

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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.