Home / 1,413.20-2,119.80-981.20

Finding the Fourth Proportional to 1,413.20, 2,119.80 and 981.20

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Solution

The fourth proportional to 1,413.20, 2,119.80 and 981.20 is: 1,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.20 : 2,119.80 = 981.20 : x
  2. Step 2: Convert to fraction form
    1,413.20/2,119.80 = 981.20/x
  3. Step 3: Cross multiply
    1,413.20x = 2,119.80 × 981.20
  4. Step 4: Simplify right side
    1,413.20x = 2,079,947.76
  5. Step 5: Solve for x
    x = 2,079,947.76/1,413.20
  6. Step 6: Final answer
    x = 1,471.80

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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.