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Finding the Fourth Proportional to 2,369.51, 3,270.14 and 1,361.36

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Solution

The fourth proportional to 2,369.51, 3,270.14 and 1,361.36 is: 1,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.51 : 3,270.14 = 1,361.36 : x
  2. Step 2: Convert to fraction form
    2,369.51/3,270.14 = 1,361.36/x
  3. Step 3: Cross multiply
    2,369.51x = 3,270.14 × 1,361.36
  4. Step 4: Simplify right side
    2,369.51x = 4,451,833.02
  5. Step 5: Solve for x
    x = 4,451,833.02/2,369.51
  6. Step 6: Final answer
    x = 1,878.80

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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.