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Finding the Fourth Proportional to 1,578.50, 2,178.34 and 879.88

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Solution

The fourth proportional to 1,578.50, 2,178.34 and 879.88 is: 1,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.50 : 2,178.34 = 879.88 : x
  2. Step 2: Convert to fraction form
    1,578.50/2,178.34 = 879.88/x
  3. Step 3: Cross multiply
    1,578.50x = 2,178.34 × 879.88
  4. Step 4: Simplify right side
    1,578.50x = 1,916,677.80
  5. Step 5: Solve for x
    x = 1,916,677.80/1,578.50
  6. Step 6: Final answer
    x = 1,214.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.