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Finding the Fourth Proportional to 3,006.78, 4,149.36 and 1,827.84

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Solution

The fourth proportional to 3,006.78, 4,149.36 and 1,827.84 is: 2,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.78 : 4,149.36 = 1,827.84 : x
  2. Step 2: Convert to fraction form
    3,006.78/4,149.36 = 1,827.84/x
  3. Step 3: Cross multiply
    3,006.78x = 4,149.36 × 1,827.84
  4. Step 4: Simplify right side
    3,006.78x = 7,584,366.18
  5. Step 5: Solve for x
    x = 7,584,366.18/3,006.78
  6. Step 6: Final answer
    x = 2,522.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.