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Finding the Fourth Proportional to 3,046.47, 4,203 and 2,251.71

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Solution

The fourth proportional to 3,046.47, 4,203 and 2,251.71 is: 3,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.47 : 4,203 = 2,251.71 : x
  2. Step 2: Convert to fraction form
    3,046.47/4,203 = 2,251.71/x
  3. Step 3: Cross multiply
    3,046.47x = 4,203 × 2,251.71
  4. Step 4: Simplify right side
    3,046.47x = 9,463,937.13
  5. Step 5: Solve for x
    x = 9,463,937.13/3,046.47
  6. Step 6: Final answer
    x = 3,106.53

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Why These Related Problems?

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