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Finding the Fourth Proportional to 1,774.38, 2,656.92 and 1,251.54

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Solution

The fourth proportional to 1,774.38, 2,656.92 and 1,251.54 is: 1,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.38 : 2,656.92 = 1,251.54 : x
  2. Step 2: Convert to fraction form
    1,774.38/2,656.92 = 1,251.54/x
  3. Step 3: Cross multiply
    1,774.38x = 2,656.92 × 1,251.54
  4. Step 4: Simplify right side
    1,774.38x = 3,325,241.66
  5. Step 5: Solve for x
    x = 3,325,241.66/1,774.38
  6. Step 6: Final answer
    x = 1,874.03

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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.