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Finding the Fourth Proportional to 2,068.89, 2,855.48 and 1,229.43

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Solution

The fourth proportional to 2,068.89, 2,855.48 and 1,229.43 is: 1,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.89 : 2,855.48 = 1,229.43 : x
  2. Step 2: Convert to fraction form
    2,068.89/2,855.48 = 1,229.43/x
  3. Step 3: Cross multiply
    2,068.89x = 2,855.48 × 1,229.43
  4. Step 4: Simplify right side
    2,068.89x = 3,510,600.81
  5. Step 5: Solve for x
    x = 3,510,600.81/2,068.89
  6. Step 6: Final answer
    x = 1,696.86

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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.