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Finding the Fourth Proportional to 1,658.94, 2,481.57 and 1,363.11

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Solution

The fourth proportional to 1,658.94, 2,481.57 and 1,363.11 is: 2,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.94 : 2,481.57 = 1,363.11 : x
  2. Step 2: Convert to fraction form
    1,658.94/2,481.57 = 1,363.11/x
  3. Step 3: Cross multiply
    1,658.94x = 2,481.57 × 1,363.11
  4. Step 4: Simplify right side
    1,658.94x = 3,382,652.88
  5. Step 5: Solve for x
    x = 3,382,652.88/1,658.94
  6. Step 6: Final answer
    x = 2,039.04

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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.