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Finding the Fourth Proportional to 3,482.46, 4,801.14 and 2,982.96

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Solution

The fourth proportional to 3,482.46, 4,801.14 and 2,982.96 is: 4,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.46 : 4,801.14 = 2,982.96 : x
  2. Step 2: Convert to fraction form
    3,482.46/4,801.14 = 2,982.96/x
  3. Step 3: Cross multiply
    3,482.46x = 4,801.14 × 2,982.96
  4. Step 4: Simplify right side
    3,482.46x = 14,321,608.57
  5. Step 5: Solve for x
    x = 14,321,608.57/3,482.46
  6. Step 6: Final answer
    x = 4,112.50

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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.