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Finding the Fourth Proportional to 2,240.80, 3,360 and 779.52

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Solution

The fourth proportional to 2,240.80, 3,360 and 779.52 is: 1,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.80 : 3,360 = 779.52 : x
  2. Step 2: Convert to fraction form
    2,240.80/3,360 = 779.52/x
  3. Step 3: Cross multiply
    2,240.80x = 3,360 × 779.52
  4. Step 4: Simplify right side
    2,240.80x = 2,619,187.20
  5. Step 5: Solve for x
    x = 2,619,187.20/2,240.80
  6. Step 6: Final answer
    x = 1,168.86

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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.