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Finding the Fourth Proportional to 2,202.48, 3,303.60 and 969.71

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Solution

The fourth proportional to 2,202.48, 3,303.60 and 969.71 is: 1,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.48 : 3,303.60 = 969.71 : x
  2. Step 2: Convert to fraction form
    2,202.48/3,303.60 = 969.71/x
  3. Step 3: Cross multiply
    2,202.48x = 3,303.60 × 969.71
  4. Step 4: Simplify right side
    2,202.48x = 3,203,517.44
  5. Step 5: Solve for x
    x = 3,203,517.44/2,202.48
  6. Step 6: Final answer
    x = 1,454.50

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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.