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Finding the Fourth Proportional to 1,367.78, 2,048.49 and 879.35

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Solution

The fourth proportional to 1,367.78, 2,048.49 and 879.35 is: 1,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.78 : 2,048.49 = 879.35 : x
  2. Step 2: Convert to fraction form
    1,367.78/2,048.49 = 879.35/x
  3. Step 3: Cross multiply
    1,367.78x = 2,048.49 × 879.35
  4. Step 4: Simplify right side
    1,367.78x = 1,801,329.44
  5. Step 5: Solve for x
    x = 1,801,329.44/1,367.78
  6. Step 6: Final answer
    x = 1,316.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.