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Finding the Fourth Proportional to 2,959.80, 4,084.80 and 2,212.46

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Solution

The fourth proportional to 2,959.80, 4,084.80 and 2,212.46 is: 3,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.80 : 4,084.80 = 2,212.46 : x
  2. Step 2: Convert to fraction form
    2,959.80/4,084.80 = 2,212.46/x
  3. Step 3: Cross multiply
    2,959.80x = 4,084.80 × 2,212.46
  4. Step 4: Simplify right side
    2,959.80x = 9,037,456.61
  5. Step 5: Solve for x
    x = 9,037,456.61/2,959.80
  6. Step 6: Final answer
    x = 3,053.40

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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.