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Finding the Fourth Proportional to 2,008.49, 3,012.89 and 547.61

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Solution

The fourth proportional to 2,008.49, 3,012.89 and 547.61 is: 821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.49 : 3,012.89 = 547.61 : x
  2. Step 2: Convert to fraction form
    2,008.49/3,012.89 = 547.61/x
  3. Step 3: Cross multiply
    2,008.49x = 3,012.89 × 547.61
  4. Step 4: Simplify right side
    2,008.49x = 1,649,870.89
  5. Step 5: Solve for x
    x = 1,649,870.89/2,008.49
  6. Step 6: Final answer
    x = 821.45

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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.