Home / 2,802.26-4,197.72-1,413.66

Finding the Fourth Proportional to 2,802.26, 4,197.72 and 1,413.66

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Solution

The fourth proportional to 2,802.26, 4,197.72 and 1,413.66 is: 2,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.26 : 4,197.72 = 1,413.66 : x
  2. Step 2: Convert to fraction form
    2,802.26/4,197.72 = 1,413.66/x
  3. Step 3: Cross multiply
    2,802.26x = 4,197.72 × 1,413.66
  4. Step 4: Simplify right side
    2,802.26x = 5,934,148.86
  5. Step 5: Solve for x
    x = 5,934,148.86/2,802.26
  6. Step 6: Final answer
    x = 2,117.63

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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.