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Finding the Fourth Proportional to 2,008.74, 3,013.08 and 548.04

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Solution

The fourth proportional to 2,008.74, 3,013.08 and 548.04 is: 822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.74 : 3,013.08 = 548.04 : x
  2. Step 2: Convert to fraction form
    2,008.74/3,013.08 = 548.04/x
  3. Step 3: Cross multiply
    2,008.74x = 3,013.08 × 548.04
  4. Step 4: Simplify right side
    2,008.74x = 1,651,288.36
  5. Step 5: Solve for x
    x = 1,651,288.36/2,008.74
  6. Step 6: Final answer
    x = 822.05

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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.