Home / 2,428.11-3,641.78-784.44

Finding the Fourth Proportional to 2,428.11, 3,641.78 and 784.44

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Solution

The fourth proportional to 2,428.11, 3,641.78 and 784.44 is: 1,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.11 : 3,641.78 = 784.44 : x
  2. Step 2: Convert to fraction form
    2,428.11/3,641.78 = 784.44/x
  3. Step 3: Cross multiply
    2,428.11x = 3,641.78 × 784.44
  4. Step 4: Simplify right side
    2,428.11x = 2,856,753.98
  5. Step 5: Solve for x
    x = 2,856,753.98/2,428.11
  6. Step 6: Final answer
    x = 1,176.53

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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.