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Finding the Fourth Proportional to 2,332, 3,218.08 and 1,283.92

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Solution

The fourth proportional to 2,332, 3,218.08 and 1,283.92 is: 1,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332 : 3,218.08 = 1,283.92 : x
  2. Step 2: Convert to fraction form
    2,332/3,218.08 = 1,283.92/x
  3. Step 3: Cross multiply
    2,332x = 3,218.08 × 1,283.92
  4. Step 4: Simplify right side
    2,332x = 4,131,757.27
  5. Step 5: Solve for x
    x = 4,131,757.27/2,332
  6. Step 6: Final answer
    x = 1,771.77

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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.