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Finding the Fourth Proportional to 2,595.43, 3,884.80 and 1,361.11

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Solution

The fourth proportional to 2,595.43, 3,884.80 and 1,361.11 is: 2,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.43 : 3,884.80 = 1,361.11 : x
  2. Step 2: Convert to fraction form
    2,595.43/3,884.80 = 1,361.11/x
  3. Step 3: Cross multiply
    2,595.43x = 3,884.80 × 1,361.11
  4. Step 4: Simplify right side
    2,595.43x = 5,287,640.13
  5. Step 5: Solve for x
    x = 5,287,640.13/2,595.43
  6. Step 6: Final answer
    x = 2,037.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.