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Finding the Fourth Proportional to 2,434.67, 3,653.06 and 791.72

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Solution

The fourth proportional to 2,434.67, 3,653.06 and 791.72 is: 1,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.67 : 3,653.06 = 791.72 : x
  2. Step 2: Convert to fraction form
    2,434.67/3,653.06 = 791.72/x
  3. Step 3: Cross multiply
    2,434.67x = 3,653.06 × 791.72
  4. Step 4: Simplify right side
    2,434.67x = 2,892,205.84
  5. Step 5: Solve for x
    x = 2,892,205.84/2,434.67
  6. Step 6: Final answer
    x = 1,187.92

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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.