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Finding the Fourth Proportional to 1,793.36, 2,475.67 and 1,196.85

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Solution

The fourth proportional to 1,793.36, 2,475.67 and 1,196.85 is: 1,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.36 : 2,475.67 = 1,196.85 : x
  2. Step 2: Convert to fraction form
    1,793.36/2,475.67 = 1,196.85/x
  3. Step 3: Cross multiply
    1,793.36x = 2,475.67 × 1,196.85
  4. Step 4: Simplify right side
    1,793.36x = 2,963,005.64
  5. Step 5: Solve for x
    x = 2,963,005.64/1,793.36
  6. Step 6: Final answer
    x = 1,652.21

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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.