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Finding the Fourth Proportional to 2,696.49, 3,701.19 and 2,582.28

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Solution

The fourth proportional to 2,696.49, 3,701.19 and 2,582.28 is: 3,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.49 : 3,701.19 = 2,582.28 : x
  2. Step 2: Convert to fraction form
    2,696.49/3,701.19 = 2,582.28/x
  3. Step 3: Cross multiply
    2,696.49x = 3,701.19 × 2,582.28
  4. Step 4: Simplify right side
    2,696.49x = 9,557,518.60
  5. Step 5: Solve for x
    x = 9,557,518.60/2,696.49
  6. Step 6: Final answer
    x = 3,544.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.