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Finding the Fourth Proportional to 2,984.92, 4,118.52 and 1,805.96

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Solution

The fourth proportional to 2,984.92, 4,118.52 and 1,805.96 is: 2,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.92 : 4,118.52 = 1,805.96 : x
  2. Step 2: Convert to fraction form
    2,984.92/4,118.52 = 1,805.96/x
  3. Step 3: Cross multiply
    2,984.92x = 4,118.52 × 1,805.96
  4. Step 4: Simplify right side
    2,984.92x = 7,437,882.38
  5. Step 5: Solve for x
    x = 7,437,882.38/2,984.92
  6. Step 6: Final answer
    x = 2,491.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.