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Finding the Fourth Proportional to 2,178.13, 3,267.30 and 879.50

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Solution

The fourth proportional to 2,178.13, 3,267.30 and 879.50 is: 1,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.13 : 3,267.30 = 879.50 : x
  2. Step 2: Convert to fraction form
    2,178.13/3,267.30 = 879.50/x
  3. Step 3: Cross multiply
    2,178.13x = 3,267.30 × 879.50
  4. Step 4: Simplify right side
    2,178.13x = 2,873,590.35
  5. Step 5: Solve for x
    x = 2,873,590.35/2,178.13
  6. Step 6: Final answer
    x = 1,319.29

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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.