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Finding the Fourth Proportional to 2,187.93, 3,282.95 and 1,092.45

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Solution

The fourth proportional to 2,187.93, 3,282.95 and 1,092.45 is: 1,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.93 : 3,282.95 = 1,092.45 : x
  2. Step 2: Convert to fraction form
    2,187.93/3,282.95 = 1,092.45/x
  3. Step 3: Cross multiply
    2,187.93x = 3,282.95 × 1,092.45
  4. Step 4: Simplify right side
    2,187.93x = 3,586,458.73
  5. Step 5: Solve for x
    x = 3,586,458.73/2,187.93
  6. Step 6: Final answer
    x = 1,639.20

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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.