Home / 1,538.28-2,306.96-807.46

Finding the Fourth Proportional to 1,538.28, 2,306.96 and 807.46

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Solution

The fourth proportional to 1,538.28, 2,306.96 and 807.46 is: 1,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.28 : 2,306.96 = 807.46 : x
  2. Step 2: Convert to fraction form
    1,538.28/2,306.96 = 807.46/x
  3. Step 3: Cross multiply
    1,538.28x = 2,306.96 × 807.46
  4. Step 4: Simplify right side
    1,538.28x = 1,862,777.92
  5. Step 5: Solve for x
    x = 1,862,777.92/1,538.28
  6. Step 6: Final answer
    x = 1,210.95

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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.