Home / 1,981.26-2,969.19-1,102.50

Finding the Fourth Proportional to 1,981.26, 2,969.19 and 1,102.50

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Solution

The fourth proportional to 1,981.26, 2,969.19 and 1,102.50 is: 1,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.26 : 2,969.19 = 1,102.50 : x
  2. Step 2: Convert to fraction form
    1,981.26/2,969.19 = 1,102.50/x
  3. Step 3: Cross multiply
    1,981.26x = 2,969.19 × 1,102.50
  4. Step 4: Simplify right side
    1,981.26x = 3,273,531.98
  5. Step 5: Solve for x
    x = 3,273,531.98/1,981.26
  6. Step 6: Final answer
    x = 1,652.25

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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.