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Finding the Fourth Proportional to 2,963.74, 4,444.14 and 1,731.46

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Solution

The fourth proportional to 2,963.74, 4,444.14 and 1,731.46 is: 2,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.74 : 4,444.14 = 1,731.46 : x
  2. Step 2: Convert to fraction form
    2,963.74/4,444.14 = 1,731.46/x
  3. Step 3: Cross multiply
    2,963.74x = 4,444.14 × 1,731.46
  4. Step 4: Simplify right side
    2,963.74x = 7,694,850.64
  5. Step 5: Solve for x
    x = 7,694,850.64/2,963.74
  6. Step 6: Final answer
    x = 2,596.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.