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Finding the Fourth Proportional to 3,552.75, 4,902.75 and 1,980.84

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Solution

The fourth proportional to 3,552.75, 4,902.75 and 1,980.84 is: 2,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.75 : 4,902.75 = 1,980.84 : x
  2. Step 2: Convert to fraction form
    3,552.75/4,902.75 = 1,980.84/x
  3. Step 3: Cross multiply
    3,552.75x = 4,902.75 × 1,980.84
  4. Step 4: Simplify right side
    3,552.75x = 9,711,563.31
  5. Step 5: Solve for x
    x = 9,711,563.31/3,552.75
  6. Step 6: Final answer
    x = 2,733.53

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.