Home / 1,523.80-2,102.16-926.20

Finding the Fourth Proportional to 1,523.80, 2,102.16 and 926.20

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Solution

The fourth proportional to 1,523.80, 2,102.16 and 926.20 is: 1,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.80 : 2,102.16 = 926.20 : x
  2. Step 2: Convert to fraction form
    1,523.80/2,102.16 = 926.20/x
  3. Step 3: Cross multiply
    1,523.80x = 2,102.16 × 926.20
  4. Step 4: Simplify right side
    1,523.80x = 1,947,020.59
  5. Step 5: Solve for x
    x = 1,947,020.59/1,523.80
  6. Step 6: Final answer
    x = 1,277.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.