Home / 2,001.71-2,997.30-1,413.53

Finding the Fourth Proportional to 2,001.71, 2,997.30 and 1,413.53

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Solution

The fourth proportional to 2,001.71, 2,997.30 and 1,413.53 is: 2,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.71 : 2,997.30 = 1,413.53 : x
  2. Step 2: Convert to fraction form
    2,001.71/2,997.30 = 1,413.53/x
  3. Step 3: Cross multiply
    2,001.71x = 2,997.30 × 1,413.53
  4. Step 4: Simplify right side
    2,001.71x = 4,236,758.48
  5. Step 5: Solve for x
    x = 4,236,758.48/2,001.71
  6. Step 6: Final answer
    x = 2,116.57

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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.