Home / 1,538.19-2,306.78-845.64

Finding the Fourth Proportional to 1,538.19, 2,306.78 and 845.64

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Solution

The fourth proportional to 1,538.19, 2,306.78 and 845.64 is: 1,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.19 : 2,306.78 = 845.64 : x
  2. Step 2: Convert to fraction form
    1,538.19/2,306.78 = 845.64/x
  3. Step 3: Cross multiply
    1,538.19x = 2,306.78 × 845.64
  4. Step 4: Simplify right side
    1,538.19x = 1,950,704.38
  5. Step 5: Solve for x
    x = 1,950,704.38/1,538.19
  6. Step 6: Final answer
    x = 1,268.18

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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.