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Finding the Fourth Proportional to 2,008.97, 3,013.05 and 547.77

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Solution

The fourth proportional to 2,008.97, 3,013.05 and 547.77 is: 821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.97 : 3,013.05 = 547.77 : x
  2. Step 2: Convert to fraction form
    2,008.97/3,013.05 = 547.77/x
  3. Step 3: Cross multiply
    2,008.97x = 3,013.05 × 547.77
  4. Step 4: Simplify right side
    2,008.97x = 1,650,458.40
  5. Step 5: Solve for x
    x = 1,650,458.40/2,008.97
  6. Step 6: Final answer
    x = 821.55

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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.