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Finding the Fourth Proportional to 2,647.44, 3,967.92 and 1,348.20

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Solution

The fourth proportional to 2,647.44, 3,967.92 and 1,348.20 is: 2,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.44 : 3,967.92 = 1,348.20 : x
  2. Step 2: Convert to fraction form
    2,647.44/3,967.92 = 1,348.20/x
  3. Step 3: Cross multiply
    2,647.44x = 3,967.92 × 1,348.20
  4. Step 4: Simplify right side
    2,647.44x = 5,349,549.74
  5. Step 5: Solve for x
    x = 5,349,549.74/2,647.44
  6. Step 6: Final answer
    x = 2,020.65

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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.