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Finding the Fourth Proportional to 1,543.40, 2,309.70 and 1,413.80

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Solution

The fourth proportional to 1,543.40, 2,309.70 and 1,413.80 is: 2,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.40 : 2,309.70 = 1,413.80 : x
  2. Step 2: Convert to fraction form
    1,543.40/2,309.70 = 1,413.80/x
  3. Step 3: Cross multiply
    1,543.40x = 2,309.70 × 1,413.80
  4. Step 4: Simplify right side
    1,543.40x = 3,265,453.86
  5. Step 5: Solve for x
    x = 3,265,453.86/1,543.40
  6. Step 6: Final answer
    x = 2,115.75

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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.