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Finding the Fourth Proportional to 2,202.58, 3,302.96 and 741.85

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Solution

The fourth proportional to 2,202.58, 3,302.96 and 741.85 is: 1,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.58 : 3,302.96 = 741.85 : x
  2. Step 2: Convert to fraction form
    2,202.58/3,302.96 = 741.85/x
  3. Step 3: Cross multiply
    2,202.58x = 3,302.96 × 741.85
  4. Step 4: Simplify right side
    2,202.58x = 2,450,300.88
  5. Step 5: Solve for x
    x = 2,450,300.88/2,202.58
  6. Step 6: Final answer
    x = 1,112.47

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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.