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Finding the Fourth Proportional to 1,456.90, 2,185.38 and 361.27

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Solution

The fourth proportional to 1,456.90, 2,185.38 and 361.27 is: 541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.90 : 2,185.38 = 361.27 : x
  2. Step 2: Convert to fraction form
    1,456.90/2,185.38 = 361.27/x
  3. Step 3: Cross multiply
    1,456.90x = 2,185.38 × 361.27
  4. Step 4: Simplify right side
    1,456.90x = 789,514.96
  5. Step 5: Solve for x
    x = 789,514.96/1,456.90
  6. Step 6: Final answer
    x = 541.92

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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.