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Finding the Fourth Proportional to 2,008.21, 3,012.01 and 547.48

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Solution

The fourth proportional to 2,008.21, 3,012.01 and 547.48 is: 821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.21 : 3,012.01 = 547.48 : x
  2. Step 2: Convert to fraction form
    2,008.21/3,012.01 = 547.48/x
  3. Step 3: Cross multiply
    2,008.21x = 3,012.01 × 547.48
  4. Step 4: Simplify right side
    2,008.21x = 1,649,015.23
  5. Step 5: Solve for x
    x = 1,649,015.23/2,008.21
  6. Step 6: Final answer
    x = 821.14

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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.