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Finding the Fourth Proportional to 2,203.65, 3,305.46 and 742.80

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Solution

The fourth proportional to 2,203.65, 3,305.46 and 742.80 is: 1,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.65 : 3,305.46 = 742.80 : x
  2. Step 2: Convert to fraction form
    2,203.65/3,305.46 = 742.80/x
  3. Step 3: Cross multiply
    2,203.65x = 3,305.46 × 742.80
  4. Step 4: Simplify right side
    2,203.65x = 2,455,295.69
  5. Step 5: Solve for x
    x = 2,455,295.69/2,203.65
  6. Step 6: Final answer
    x = 1,114.19

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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.