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Finding the Fourth Proportional to 1,774.79, 2,657.52 and 1,251.97

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Solution

The fourth proportional to 1,774.79, 2,657.52 and 1,251.97 is: 1,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.79 : 2,657.52 = 1,251.97 : x
  2. Step 2: Convert to fraction form
    1,774.79/2,657.52 = 1,251.97/x
  3. Step 3: Cross multiply
    1,774.79x = 2,657.52 × 1,251.97
  4. Step 4: Simplify right side
    1,774.79x = 3,327,135.31
  5. Step 5: Solve for x
    x = 3,327,135.31/1,774.79
  6. Step 6: Final answer
    x = 1,874.66

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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.