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Finding the Fourth Proportional to 2,696.54, 4,042.07 and 2,045.91

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Solution

The fourth proportional to 2,696.54, 4,042.07 and 2,045.91 is: 3,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.54 : 4,042.07 = 2,045.91 : x
  2. Step 2: Convert to fraction form
    2,696.54/4,042.07 = 2,045.91/x
  3. Step 3: Cross multiply
    2,696.54x = 4,042.07 × 2,045.91
  4. Step 4: Simplify right side
    2,696.54x = 8,269,701.20
  5. Step 5: Solve for x
    x = 8,269,701.20/2,696.54
  6. Step 6: Final answer
    x = 3,066.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.