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Finding the Fourth Proportional to 2,008.92, 3,013.10 and 623.20

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Solution

The fourth proportional to 2,008.92, 3,013.10 and 623.20 is: 934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.92 : 3,013.10 = 623.20 : x
  2. Step 2: Convert to fraction form
    2,008.92/3,013.10 = 623.20/x
  3. Step 3: Cross multiply
    2,008.92x = 3,013.10 × 623.20
  4. Step 4: Simplify right side
    2,008.92x = 1,877,763.92
  5. Step 5: Solve for x
    x = 1,877,763.92/2,008.92
  6. Step 6: Final answer
    x = 934.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.