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Finding the Fourth Proportional to 2,008.80, 3,012.74 and 547.60

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Solution

The fourth proportional to 2,008.80, 3,012.74 and 547.60 is: 821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.80 : 3,012.74 = 547.60 : x
  2. Step 2: Convert to fraction form
    2,008.80/3,012.74 = 547.60/x
  3. Step 3: Cross multiply
    2,008.80x = 3,012.74 × 547.60
  4. Step 4: Simplify right side
    2,008.80x = 1,649,776.42
  5. Step 5: Solve for x
    x = 1,649,776.42/2,008.80
  6. Step 6: Final answer
    x = 821.27

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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.