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Finding the Fourth Proportional to 2,922.13, 4,382.88 and 842.05

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Solution

The fourth proportional to 2,922.13, 4,382.88 and 842.05 is: 1,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.13 : 4,382.88 = 842.05 : x
  2. Step 2: Convert to fraction form
    2,922.13/4,382.88 = 842.05/x
  3. Step 3: Cross multiply
    2,922.13x = 4,382.88 × 842.05
  4. Step 4: Simplify right side
    2,922.13x = 3,690,604.10
  5. Step 5: Solve for x
    x = 3,690,604.10/2,922.13
  6. Step 6: Final answer
    x = 1,262.98

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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.