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Finding the Fourth Proportional to 2,204.87, 3,307.31 and 744.03

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Solution

The fourth proportional to 2,204.87, 3,307.31 and 744.03 is: 1,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.87 : 3,307.31 = 744.03 : x
  2. Step 2: Convert to fraction form
    2,204.87/3,307.31 = 744.03/x
  3. Step 3: Cross multiply
    2,204.87x = 3,307.31 × 744.03
  4. Step 4: Simplify right side
    2,204.87x = 2,460,734.14
  5. Step 5: Solve for x
    x = 2,460,734.14/2,204.87
  6. Step 6: Final answer
    x = 1,116.05

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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.