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Finding the Fourth Proportional to 2,696.75, 4,046.18 and 1,772.13

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Solution

The fourth proportional to 2,696.75, 4,046.18 and 1,772.13 is: 2,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.75 : 4,046.18 = 1,772.13 : x
  2. Step 2: Convert to fraction form
    2,696.75/4,046.18 = 1,772.13/x
  3. Step 3: Cross multiply
    2,696.75x = 4,046.18 × 1,772.13
  4. Step 4: Simplify right side
    2,696.75x = 7,170,348.10
  5. Step 5: Solve for x
    x = 7,170,348.10/2,696.75
  6. Step 6: Final answer
    x = 2,658.89

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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.