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Finding the Fourth Proportional to 2,922.92, 4,037.05 and 2,327.40

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Solution

The fourth proportional to 2,922.92, 4,037.05 and 2,327.40 is: 3,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.92 : 4,037.05 = 2,327.40 : x
  2. Step 2: Convert to fraction form
    2,922.92/4,037.05 = 2,327.40/x
  3. Step 3: Cross multiply
    2,922.92x = 4,037.05 × 2,327.40
  4. Step 4: Simplify right side
    2,922.92x = 9,395,824.35
  5. Step 5: Solve for x
    x = 9,395,824.35/2,922.92
  6. Step 6: Final answer
    x = 3,214.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.