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Finding the Fourth Proportional to 1,142.36, 1,704.40 and 1,019.24

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Solution

The fourth proportional to 1,142.36, 1,704.40 and 1,019.24 is: 1,520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.36 : 1,704.40 = 1,019.24 : x
  2. Step 2: Convert to fraction form
    1,142.36/1,704.40 = 1,019.24/x
  3. Step 3: Cross multiply
    1,142.36x = 1,704.40 × 1,019.24
  4. Step 4: Simplify right side
    1,142.36x = 1,737,192.66
  5. Step 5: Solve for x
    x = 1,737,192.66/1,142.36
  6. Step 6: Final answer
    x = 1,520.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.