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Finding the Fourth Proportional to 2,435.32, 3,652.94 and 791.80

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Solution

The fourth proportional to 2,435.32, 3,652.94 and 791.80 is: 1,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.32 : 3,652.94 = 791.80 : x
  2. Step 2: Convert to fraction form
    2,435.32/3,652.94 = 791.80/x
  3. Step 3: Cross multiply
    2,435.32x = 3,652.94 × 791.80
  4. Step 4: Simplify right side
    2,435.32x = 2,892,397.89
  5. Step 5: Solve for x
    x = 2,892,397.89/2,435.32
  6. Step 6: Final answer
    x = 1,187.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.