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Finding the Fourth Proportional to 3,444, 4,752.72 and 2,046.48

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Solution

The fourth proportional to 3,444, 4,752.72 and 2,046.48 is: 2,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444 : 4,752.72 = 2,046.48 : x
  2. Step 2: Convert to fraction form
    3,444/4,752.72 = 2,046.48/x
  3. Step 3: Cross multiply
    3,444x = 4,752.72 × 2,046.48
  4. Step 4: Simplify right side
    3,444x = 9,726,346.43
  5. Step 5: Solve for x
    x = 9,726,346.43/3,444
  6. Step 6: Final answer
    x = 2,824.14

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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.