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Finding the Fourth Proportional to 3,296.75, 4,549.11 and 1,970.19

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Solution

The fourth proportional to 3,296.75, 4,549.11 and 1,970.19 is: 2,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.75 : 4,549.11 = 1,970.19 : x
  2. Step 2: Convert to fraction form
    3,296.75/4,549.11 = 1,970.19/x
  3. Step 3: Cross multiply
    3,296.75x = 4,549.11 × 1,970.19
  4. Step 4: Simplify right side
    3,296.75x = 8,962,611.03
  5. Step 5: Solve for x
    x = 8,962,611.03/3,296.75
  6. Step 6: Final answer
    x = 2,718.62

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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.