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Finding the Fourth Proportional to 2,536.91, 3,803.78 and 1,424.57

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Solution

The fourth proportional to 2,536.91, 3,803.78 and 1,424.57 is: 2,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.91 : 3,803.78 = 1,424.57 : x
  2. Step 2: Convert to fraction form
    2,536.91/3,803.78 = 1,424.57/x
  3. Step 3: Cross multiply
    2,536.91x = 3,803.78 × 1,424.57
  4. Step 4: Simplify right side
    2,536.91x = 5,418,724.73
  5. Step 5: Solve for x
    x = 5,418,724.73/2,536.91
  6. Step 6: Final answer
    x = 2,135.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.