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Finding the Fourth Proportional to 2,767.32, 3,818.07 and 2,022.30

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Solution

The fourth proportional to 2,767.32, 3,818.07 and 2,022.30 is: 2,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.32 : 3,818.07 = 2,022.30 : x
  2. Step 2: Convert to fraction form
    2,767.32/3,818.07 = 2,022.30/x
  3. Step 3: Cross multiply
    2,767.32x = 3,818.07 × 2,022.30
  4. Step 4: Simplify right side
    2,767.32x = 7,721,282.96
  5. Step 5: Solve for x
    x = 7,721,282.96/2,767.32
  6. Step 6: Final answer
    x = 2,790.17

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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.