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Finding the Fourth Proportional to 2,922.29, 4,383.90 and 948.41

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Solution

The fourth proportional to 2,922.29, 4,383.90 and 948.41 is: 1,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.29 : 4,383.90 = 948.41 : x
  2. Step 2: Convert to fraction form
    2,922.29/4,383.90 = 948.41/x
  3. Step 3: Cross multiply
    2,922.29x = 4,383.90 × 948.41
  4. Step 4: Simplify right side
    2,922.29x = 4,157,712.68
  5. Step 5: Solve for x
    x = 4,157,712.68/2,922.29
  6. Step 6: Final answer
    x = 1,422.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.