Home / 2,275.38-3,413.10-1,578.24

Finding the Fourth Proportional to 2,275.38, 3,413.10 and 1,578.24

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Solution

The fourth proportional to 2,275.38, 3,413.10 and 1,578.24 is: 2,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.38 : 3,413.10 = 1,578.24 : x
  2. Step 2: Convert to fraction form
    2,275.38/3,413.10 = 1,578.24/x
  3. Step 3: Cross multiply
    2,275.38x = 3,413.10 × 1,578.24
  4. Step 4: Simplify right side
    2,275.38x = 5,386,690.94
  5. Step 5: Solve for x
    x = 5,386,690.94/2,275.38
  6. Step 6: Final answer
    x = 2,367.38

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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.