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Finding the Fourth Proportional to 1,922.38, 2,882.58 and 623.68

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Solution

The fourth proportional to 1,922.38, 2,882.58 and 623.68 is: 935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.38 : 2,882.58 = 623.68 : x
  2. Step 2: Convert to fraction form
    1,922.38/2,882.58 = 623.68/x
  3. Step 3: Cross multiply
    1,922.38x = 2,882.58 × 623.68
  4. Step 4: Simplify right side
    1,922.38x = 1,797,807.49
  5. Step 5: Solve for x
    x = 1,797,807.49/1,922.38
  6. Step 6: Final answer
    x = 935.20

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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.