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Finding the Fourth Proportional to 2,240.25, 3,360.98 and 779.51

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Solution

The fourth proportional to 2,240.25, 3,360.98 and 779.51 is: 1,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.25 : 3,360.98 = 779.51 : x
  2. Step 2: Convert to fraction form
    2,240.25/3,360.98 = 779.51/x
  3. Step 3: Cross multiply
    2,240.25x = 3,360.98 × 779.51
  4. Step 4: Simplify right side
    2,240.25x = 2,619,917.52
  5. Step 5: Solve for x
    x = 2,619,917.52/2,240.25
  6. Step 6: Final answer
    x = 1,169.48

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1.5x scale

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.