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Finding the Fourth Proportional to 2,678.12, 3,696.18 and 1,934.48

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Solution

The fourth proportional to 2,678.12, 3,696.18 and 1,934.48 is: 2,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.12 : 3,696.18 = 1,934.48 : x
  2. Step 2: Convert to fraction form
    2,678.12/3,696.18 = 1,934.48/x
  3. Step 3: Cross multiply
    2,678.12x = 3,696.18 × 1,934.48
  4. Step 4: Simplify right side
    2,678.12x = 7,150,186.29
  5. Step 5: Solve for x
    x = 7,150,186.29/2,678.12
  6. Step 6: Final answer
    x = 2,669.85

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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.