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Finding the Fourth Proportional to 1,236.90, 1,848.08 and 1,193.83

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Solution

The fourth proportional to 1,236.90, 1,848.08 and 1,193.83 is: 1,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.90 : 1,848.08 = 1,193.83 : x
  2. Step 2: Convert to fraction form
    1,236.90/1,848.08 = 1,193.83/x
  3. Step 3: Cross multiply
    1,236.90x = 1,848.08 × 1,193.83
  4. Step 4: Simplify right side
    1,236.90x = 2,206,293.35
  5. Step 5: Solve for x
    x = 2,206,293.35/1,236.90
  6. Step 6: Final answer
    x = 1,783.73

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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.