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Finding the Fourth Proportional to 2,008.79, 3,013.38 and 547.94

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Solution

The fourth proportional to 2,008.79, 3,013.38 and 547.94 is: 821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.79 : 3,013.38 = 547.94 : x
  2. Step 2: Convert to fraction form
    2,008.79/3,013.38 = 547.94/x
  3. Step 3: Cross multiply
    2,008.79x = 3,013.38 × 547.94
  4. Step 4: Simplify right side
    2,008.79x = 1,651,142.02
  5. Step 5: Solve for x
    x = 1,651,142.02/2,008.79
  6. Step 6: Final answer
    x = 821.96

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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.