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Finding the Fourth Proportional to 2,206.17, 3,309.54 and 745.74

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Solution

The fourth proportional to 2,206.17, 3,309.54 and 745.74 is: 1,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.17 : 3,309.54 = 745.74 : x
  2. Step 2: Convert to fraction form
    2,206.17/3,309.54 = 745.74/x
  3. Step 3: Cross multiply
    2,206.17x = 3,309.54 × 745.74
  4. Step 4: Simplify right side
    2,206.17x = 2,468,056.36
  5. Step 5: Solve for x
    x = 2,468,056.36/2,206.17
  6. Step 6: Final answer
    x = 1,118.71

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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.