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Finding the Fourth Proportional to 1,455.78, 2,194.62 and 1,361.82

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Solution

The fourth proportional to 1,455.78, 2,194.62 and 1,361.82 is: 2,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.78 : 2,194.62 = 1,361.82 : x
  2. Step 2: Convert to fraction form
    1,455.78/2,194.62 = 1,361.82/x
  3. Step 3: Cross multiply
    1,455.78x = 2,194.62 × 1,361.82
  4. Step 4: Simplify right side
    1,455.78x = 2,988,677.41
  5. Step 5: Solve for x
    x = 2,988,677.41/1,455.78
  6. Step 6: Final answer
    x = 2,052.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.