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Finding the Fourth Proportional to 2,874.42, 4,309.20 and 1,144.26

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Solution

The fourth proportional to 2,874.42, 4,309.20 and 1,144.26 is: 1,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.42 : 4,309.20 = 1,144.26 : x
  2. Step 2: Convert to fraction form
    2,874.42/4,309.20 = 1,144.26/x
  3. Step 3: Cross multiply
    2,874.42x = 4,309.20 × 1,144.26
  4. Step 4: Simplify right side
    2,874.42x = 4,930,845.19
  5. Step 5: Solve for x
    x = 4,930,845.19/2,874.42
  6. Step 6: Final answer
    x = 1,715.42

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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.