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Finding the Fourth Proportional to 2,761.34, 4,144.74 and 2,247.40

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Solution

The fourth proportional to 2,761.34, 4,144.74 and 2,247.40 is: 3,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.34 : 4,144.74 = 2,247.40 : x
  2. Step 2: Convert to fraction form
    2,761.34/4,144.74 = 2,247.40/x
  3. Step 3: Cross multiply
    2,761.34x = 4,144.74 × 2,247.40
  4. Step 4: Simplify right side
    2,761.34x = 9,314,888.68
  5. Step 5: Solve for x
    x = 9,314,888.68/2,761.34
  6. Step 6: Final answer
    x = 3,373.32

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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.