Home / 2,424.23-3,635.38-942.74

Finding the Fourth Proportional to 2,424.23, 3,635.38 and 942.74

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Solution

The fourth proportional to 2,424.23, 3,635.38 and 942.74 is: 1,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.23 : 3,635.38 = 942.74 : x
  2. Step 2: Convert to fraction form
    2,424.23/3,635.38 = 942.74/x
  3. Step 3: Cross multiply
    2,424.23x = 3,635.38 × 942.74
  4. Step 4: Simplify right side
    2,424.23x = 3,427,214.78
  5. Step 5: Solve for x
    x = 3,427,214.78/2,424.23
  6. Step 6: Final answer
    x = 1,413.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.