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Finding the Fourth Proportional to 2,008.52, 3,012.47 and 547.79

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Solution

The fourth proportional to 2,008.52, 3,012.47 and 547.79 is: 821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.52 : 3,012.47 = 547.79 : x
  2. Step 2: Convert to fraction form
    2,008.52/3,012.47 = 547.79/x
  3. Step 3: Cross multiply
    2,008.52x = 3,012.47 × 547.79
  4. Step 4: Simplify right side
    2,008.52x = 1,650,200.94
  5. Step 5: Solve for x
    x = 1,650,200.94/2,008.52
  6. Step 6: Final answer
    x = 821.60

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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.