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Finding the Fourth Proportional to 2,922.32, 4,383 and 1,947.92

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Solution

The fourth proportional to 2,922.32, 4,383 and 1,947.92 is: 2,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.32 : 4,383 = 1,947.92 : x
  2. Step 2: Convert to fraction form
    2,922.32/4,383 = 1,947.92/x
  3. Step 3: Cross multiply
    2,922.32x = 4,383 × 1,947.92
  4. Step 4: Simplify right side
    2,922.32x = 8,537,733.36
  5. Step 5: Solve for x
    x = 8,537,733.36/2,922.32
  6. Step 6: Final answer
    x = 2,921.56

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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.