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Finding the Fourth Proportional to 2,838.65, 3,918.15 and 1,895.81

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Solution

The fourth proportional to 2,838.65, 3,918.15 and 1,895.81 is: 2,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.65 : 3,918.15 = 1,895.81 : x
  2. Step 2: Convert to fraction form
    2,838.65/3,918.15 = 1,895.81/x
  3. Step 3: Cross multiply
    2,838.65x = 3,918.15 × 1,895.81
  4. Step 4: Simplify right side
    2,838.65x = 7,428,067.95
  5. Step 5: Solve for x
    x = 7,428,067.95/2,838.65
  6. Step 6: Final answer
    x = 2,616.76

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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.