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Finding the Fourth Proportional to 2,008.54, 3,012.56 and 547.80

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Solution

The fourth proportional to 2,008.54, 3,012.56 and 547.80 is: 821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.54 : 3,012.56 = 547.80 : x
  2. Step 2: Convert to fraction form
    2,008.54/3,012.56 = 547.80/x
  3. Step 3: Cross multiply
    2,008.54x = 3,012.56 × 547.80
  4. Step 4: Simplify right side
    2,008.54x = 1,650,280.37
  5. Step 5: Solve for x
    x = 1,650,280.37/2,008.54
  6. Step 6: Final answer
    x = 821.63

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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.