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Finding the Fourth Proportional to 3,068.86, 4,233.80 and 2,006.28

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Solution

The fourth proportional to 3,068.86, 4,233.80 and 2,006.28 is: 2,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.86 : 4,233.80 = 2,006.28 : x
  2. Step 2: Convert to fraction form
    3,068.86/4,233.80 = 2,006.28/x
  3. Step 3: Cross multiply
    3,068.86x = 4,233.80 × 2,006.28
  4. Step 4: Simplify right side
    3,068.86x = 8,494,188.26
  5. Step 5: Solve for x
    x = 8,494,188.26/3,068.86
  6. Step 6: Final answer
    x = 2,767.86

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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.