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Finding the Fourth Proportional to 3,242.82, 4,867.26 and 1,488.77

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Solution

The fourth proportional to 3,242.82, 4,867.26 and 1,488.77 is: 2,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.82 : 4,867.26 = 1,488.77 : x
  2. Step 2: Convert to fraction form
    3,242.82/4,867.26 = 1,488.77/x
  3. Step 3: Cross multiply
    3,242.82x = 4,867.26 × 1,488.77
  4. Step 4: Simplify right side
    3,242.82x = 7,246,206.33
  5. Step 5: Solve for x
    x = 7,246,206.33/3,242.82
  6. Step 6: Final answer
    x = 2,234.54

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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.