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Finding the Fourth Proportional to 2,767.21, 3,818.75 and 1,525.21

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Solution

The fourth proportional to 2,767.21, 3,818.75 and 1,525.21 is: 2,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.21 : 3,818.75 = 1,525.21 : x
  2. Step 2: Convert to fraction form
    2,767.21/3,818.75 = 1,525.21/x
  3. Step 3: Cross multiply
    2,767.21x = 3,818.75 × 1,525.21
  4. Step 4: Simplify right side
    2,767.21x = 5,824,368.97
  5. Step 5: Solve for x
    x = 5,824,368.97/2,767.21
  6. Step 6: Final answer
    x = 2,104.78

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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.