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Finding the Fourth Proportional to 2,008.40, 3,012.29 and 547.66

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Solution

The fourth proportional to 2,008.40, 3,012.29 and 547.66 is: 821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.40 : 3,012.29 = 547.66 : x
  2. Step 2: Convert to fraction form
    2,008.40/3,012.29 = 547.66/x
  3. Step 3: Cross multiply
    2,008.40x = 3,012.29 × 547.66
  4. Step 4: Simplify right side
    2,008.40x = 1,649,713.82
  5. Step 5: Solve for x
    x = 1,649,713.82/2,008.40
  6. Step 6: Final answer
    x = 821.41

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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.