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Finding the Fourth Proportional to 2,357.25, 3,251.81 and 1,361.93

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Solution

The fourth proportional to 2,357.25, 3,251.81 and 1,361.93 is: 1,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.25 : 3,251.81 = 1,361.93 : x
  2. Step 2: Convert to fraction form
    2,357.25/3,251.81 = 1,361.93/x
  3. Step 3: Cross multiply
    2,357.25x = 3,251.81 × 1,361.93
  4. Step 4: Simplify right side
    2,357.25x = 4,428,714.52
  5. Step 5: Solve for x
    x = 4,428,714.52/2,357.25
  6. Step 6: Final answer
    x = 1,878.76

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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.