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Finding the Fourth Proportional to 3,177.76, 4,767.50 and 1,328.26

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Solution

The fourth proportional to 3,177.76, 4,767.50 and 1,328.26 is: 1,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.76 : 4,767.50 = 1,328.26 : x
  2. Step 2: Convert to fraction form
    3,177.76/4,767.50 = 1,328.26/x
  3. Step 3: Cross multiply
    3,177.76x = 4,767.50 × 1,328.26
  4. Step 4: Simplify right side
    3,177.76x = 6,332,479.55
  5. Step 5: Solve for x
    x = 6,332,479.55/3,177.76
  6. Step 6: Final answer
    x = 1,992.75

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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.