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Finding the Fourth Proportional to 1,238.89, 1,858.62 and 361.42

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Solution

The fourth proportional to 1,238.89, 1,858.62 and 361.42 is: 542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.89 : 1,858.62 = 361.42 : x
  2. Step 2: Convert to fraction form
    1,238.89/1,858.62 = 361.42/x
  3. Step 3: Cross multiply
    1,238.89x = 1,858.62 × 361.42
  4. Step 4: Simplify right side
    1,238.89x = 671,733.15
  5. Step 5: Solve for x
    x = 671,733.15/1,238.89
  6. Step 6: Final answer
    x = 542.21

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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.