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Finding the Fourth Proportional to 1,962.91, 2,942.22 and 922.07

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Solution

The fourth proportional to 1,962.91, 2,942.22 and 922.07 is: 1,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.91 : 2,942.22 = 922.07 : x
  2. Step 2: Convert to fraction form
    1,962.91/2,942.22 = 922.07/x
  3. Step 3: Cross multiply
    1,962.91x = 2,942.22 × 922.07
  4. Step 4: Simplify right side
    1,962.91x = 2,712,932.80
  5. Step 5: Solve for x
    x = 2,712,932.80/1,962.91
  6. Step 6: Final answer
    x = 1,382.10

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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.