Home / 1,413.85-2,119.31-1,022.88

Finding the Fourth Proportional to 1,413.85, 2,119.31 and 1,022.88

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Solution

The fourth proportional to 1,413.85, 2,119.31 and 1,022.88 is: 1,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.85 : 2,119.31 = 1,022.88 : x
  2. Step 2: Convert to fraction form
    1,413.85/2,119.31 = 1,022.88/x
  3. Step 3: Cross multiply
    1,413.85x = 2,119.31 × 1,022.88
  4. Step 4: Simplify right side
    1,413.85x = 2,167,797.08
  5. Step 5: Solve for x
    x = 2,167,797.08/1,413.85
  6. Step 6: Final answer
    x = 1,533.26

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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.