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Finding the Fourth Proportional to 2,206.24, 3,309.52 and 744.80

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Solution

The fourth proportional to 2,206.24, 3,309.52 and 744.80 is: 1,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.24 : 3,309.52 = 744.80 : x
  2. Step 2: Convert to fraction form
    2,206.24/3,309.52 = 744.80/x
  3. Step 3: Cross multiply
    2,206.24x = 3,309.52 × 744.80
  4. Step 4: Simplify right side
    2,206.24x = 2,464,930.50
  5. Step 5: Solve for x
    x = 2,464,930.50/2,206.24
  6. Step 6: Final answer
    x = 1,117.25

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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.