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Finding the Fourth Proportional to 2,544.21, 3,816.37 and 695.52

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Solution

The fourth proportional to 2,544.21, 3,816.37 and 695.52 is: 1,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.21 : 3,816.37 = 695.52 : x
  2. Step 2: Convert to fraction form
    2,544.21/3,816.37 = 695.52/x
  3. Step 3: Cross multiply
    2,544.21x = 3,816.37 × 695.52
  4. Step 4: Simplify right side
    2,544.21x = 2,654,361.66
  5. Step 5: Solve for x
    x = 2,654,361.66/2,544.21
  6. Step 6: Final answer
    x = 1,043.30

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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.