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Finding the Fourth Proportional to 2,224.67, 3,335.46 and 1,600.35

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Solution

The fourth proportional to 2,224.67, 3,335.46 and 1,600.35 is: 2,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.67 : 3,335.46 = 1,600.35 : x
  2. Step 2: Convert to fraction form
    2,224.67/3,335.46 = 1,600.35/x
  3. Step 3: Cross multiply
    2,224.67x = 3,335.46 × 1,600.35
  4. Step 4: Simplify right side
    2,224.67x = 5,337,886.73
  5. Step 5: Solve for x
    x = 5,337,886.73/2,224.67
  6. Step 6: Final answer
    x = 2,399.41

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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.