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Finding the Fourth Proportional to 3,355.24, 5,032.89 and 1,600.42

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Solution

The fourth proportional to 3,355.24, 5,032.89 and 1,600.42 is: 2,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.24 : 5,032.89 = 1,600.42 : x
  2. Step 2: Convert to fraction form
    3,355.24/5,032.89 = 1,600.42/x
  3. Step 3: Cross multiply
    3,355.24x = 5,032.89 × 1,600.42
  4. Step 4: Simplify right side
    3,355.24x = 8,054,737.81
  5. Step 5: Solve for x
    x = 8,054,737.81/3,355.24
  6. Step 6: Final answer
    x = 2,400.64

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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.