Home / 2,282.24-3,151.42-1,538.66

Finding the Fourth Proportional to 2,282.24, 3,151.42 and 1,538.66

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Solution

The fourth proportional to 2,282.24, 3,151.42 and 1,538.66 is: 2,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.24 : 3,151.42 = 1,538.66 : x
  2. Step 2: Convert to fraction form
    2,282.24/3,151.42 = 1,538.66/x
  3. Step 3: Cross multiply
    2,282.24x = 3,151.42 × 1,538.66
  4. Step 4: Simplify right side
    2,282.24x = 4,848,967.93
  5. Step 5: Solve for x
    x = 4,848,967.93/2,282.24
  6. Step 6: Final answer
    x = 2,124.65

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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.