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Finding the Fourth Proportional to 2,417, 3,332.38 and 2,062.22

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Solution

The fourth proportional to 2,417, 3,332.38 and 2,062.22 is: 2,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417 : 3,332.38 = 2,062.22 : x
  2. Step 2: Convert to fraction form
    2,417/3,332.38 = 2,062.22/x
  3. Step 3: Cross multiply
    2,417x = 3,332.38 × 2,062.22
  4. Step 4: Simplify right side
    2,417x = 6,872,100.68
  5. Step 5: Solve for x
    x = 6,872,100.68/2,417
  6. Step 6: Final answer
    x = 2,843.24

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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.