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Finding the Fourth Proportional to 2,337.28, 3,222.78 and 1,746.82

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Solution

The fourth proportional to 2,337.28, 3,222.78 and 1,746.82 is: 2,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.28 : 3,222.78 = 1,746.82 : x
  2. Step 2: Convert to fraction form
    2,337.28/3,222.78 = 1,746.82/x
  3. Step 3: Cross multiply
    2,337.28x = 3,222.78 × 1,746.82
  4. Step 4: Simplify right side
    2,337.28x = 5,629,616.56
  5. Step 5: Solve for x
    x = 5,629,616.56/2,337.28
  6. Step 6: Final answer
    x = 2,408.62

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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.