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Finding the Fourth Proportional to 2,782.27, 3,837.16 and 1,838.11

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Solution

The fourth proportional to 2,782.27, 3,837.16 and 1,838.11 is: 2,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.27 : 3,837.16 = 1,838.11 : x
  2. Step 2: Convert to fraction form
    2,782.27/3,837.16 = 1,838.11/x
  3. Step 3: Cross multiply
    2,782.27x = 3,837.16 × 1,838.11
  4. Step 4: Simplify right side
    2,782.27x = 7,053,103.29
  5. Step 5: Solve for x
    x = 7,053,103.29/2,782.27
  6. Step 6: Final answer
    x = 2,535.01

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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.