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Finding the Fourth Proportional to 4,269.32, 6,403.73 and 1,600.39

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Solution

The fourth proportional to 4,269.32, 6,403.73 and 1,600.39 is: 2,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.32 : 6,403.73 = 1,600.39 : x
  2. Step 2: Convert to fraction form
    4,269.32/6,403.73 = 1,600.39/x
  3. Step 3: Cross multiply
    4,269.32x = 6,403.73 × 1,600.39
  4. Step 4: Simplify right side
    4,269.32x = 10,248,429.44
  5. Step 5: Solve for x
    x = 10,248,429.44/4,269.32
  6. Step 6: Final answer
    x = 2,400.48

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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.