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Finding the Fourth Proportional to 2,879.76, 3,970.80 and 2,503.44

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Solution

The fourth proportional to 2,879.76, 3,970.80 and 2,503.44 is: 3,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.76 : 3,970.80 = 2,503.44 : x
  2. Step 2: Convert to fraction form
    2,879.76/3,970.80 = 2,503.44/x
  3. Step 3: Cross multiply
    2,879.76x = 3,970.80 × 2,503.44
  4. Step 4: Simplify right side
    2,879.76x = 9,940,659.55
  5. Step 5: Solve for x
    x = 9,940,659.55/2,879.76
  6. Step 6: Final answer
    x = 3,451.91

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1.5x scale

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.