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Finding the Fourth Proportional to 2,178.02, 3,267.18 and 879.50

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Solution

The fourth proportional to 2,178.02, 3,267.18 and 879.50 is: 1,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.02 : 3,267.18 = 879.50 : x
  2. Step 2: Convert to fraction form
    2,178.02/3,267.18 = 879.50/x
  3. Step 3: Cross multiply
    2,178.02x = 3,267.18 × 879.50
  4. Step 4: Simplify right side
    2,178.02x = 2,873,484.81
  5. Step 5: Solve for x
    x = 2,873,484.81/2,178.02
  6. Step 6: Final answer
    x = 1,319.31

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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.