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Finding the Fourth Proportional to 2,008.42, 3,012.81 and 621.76

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Solution

The fourth proportional to 2,008.42, 3,012.81 and 621.76 is: 932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.42 : 3,012.81 = 621.76 : x
  2. Step 2: Convert to fraction form
    2,008.42/3,012.81 = 621.76/x
  3. Step 3: Cross multiply
    2,008.42x = 3,012.81 × 621.76
  4. Step 4: Simplify right side
    2,008.42x = 1,873,244.75
  5. Step 5: Solve for x
    x = 1,873,244.75/2,008.42
  6. Step 6: Final answer
    x = 932.70

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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.