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Finding the Fourth Proportional to 2,006.13, 3,008.82 and 544.92

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Solution

The fourth proportional to 2,006.13, 3,008.82 and 544.92 is: 817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.13 : 3,008.82 = 544.92 : x
  2. Step 2: Convert to fraction form
    2,006.13/3,008.82 = 544.92/x
  3. Step 3: Cross multiply
    2,006.13x = 3,008.82 × 544.92
  4. Step 4: Simplify right side
    2,006.13x = 1,639,566.19
  5. Step 5: Solve for x
    x = 1,639,566.19/2,006.13
  6. Step 6: Final answer
    x = 817.28

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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.