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Finding the Fourth Proportional to 2,491.84, 3,745.86 and 2,414.08

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Solution

The fourth proportional to 2,491.84, 3,745.86 and 2,414.08 is: 3,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.84 : 3,745.86 = 2,414.08 : x
  2. Step 2: Convert to fraction form
    2,491.84/3,745.86 = 2,414.08/x
  3. Step 3: Cross multiply
    2,491.84x = 3,745.86 × 2,414.08
  4. Step 4: Simplify right side
    2,491.84x = 9,042,805.71
  5. Step 5: Solve for x
    x = 9,042,805.71/2,491.84
  6. Step 6: Final answer
    x = 3,628.97

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1.5x scale

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.