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Finding the Fourth Proportional to 3,144.64, 4,339.14 and 1,747.39

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Solution

The fourth proportional to 3,144.64, 4,339.14 and 1,747.39 is: 2,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.64 : 4,339.14 = 1,747.39 : x
  2. Step 2: Convert to fraction form
    3,144.64/4,339.14 = 1,747.39/x
  3. Step 3: Cross multiply
    3,144.64x = 4,339.14 × 1,747.39
  4. Step 4: Simplify right side
    3,144.64x = 7,582,169.84
  5. Step 5: Solve for x
    x = 7,582,169.84/3,144.64
  6. Step 6: Final answer
    x = 2,411.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.