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Finding the Fourth Proportional to 2,767.44, 3,818.76 and 1,884.36

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Solution

The fourth proportional to 2,767.44, 3,818.76 and 1,884.36 is: 2,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.44 : 3,818.76 = 1,884.36 : x
  2. Step 2: Convert to fraction form
    2,767.44/3,818.76 = 1,884.36/x
  3. Step 3: Cross multiply
    2,767.44x = 3,818.76 × 1,884.36
  4. Step 4: Simplify right side
    2,767.44x = 7,195,918.59
  5. Step 5: Solve for x
    x = 7,195,918.59/2,767.44
  6. Step 6: Final answer
    x = 2,600.21

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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.