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Finding the Fourth Proportional to 2,008.28, 3,011.30 and 621.23

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Solution

The fourth proportional to 2,008.28, 3,011.30 and 621.23 is: 931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.28 : 3,011.30 = 621.23 : x
  2. Step 2: Convert to fraction form
    2,008.28/3,011.30 = 621.23/x
  3. Step 3: Cross multiply
    2,008.28x = 3,011.30 × 621.23
  4. Step 4: Simplify right side
    2,008.28x = 1,870,691.74
  5. Step 5: Solve for x
    x = 1,870,691.74/2,008.28
  6. Step 6: Final answer
    x = 931.49

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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.