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Finding the Fourth Proportional to 1,518.53, 2,092.19 and 1,138.82

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Solution

The fourth proportional to 1,518.53, 2,092.19 and 1,138.82 is: 1,569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.53 : 2,092.19 = 1,138.82 : x
  2. Step 2: Convert to fraction form
    1,518.53/2,092.19 = 1,138.82/x
  3. Step 3: Cross multiply
    1,518.53x = 2,092.19 × 1,138.82
  4. Step 4: Simplify right side
    1,518.53x = 2,382,611.66
  5. Step 5: Solve for x
    x = 2,382,611.66/1,518.53
  6. Step 6: Final answer
    x = 1,569.03

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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.