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Finding the Fourth Proportional to 3,105.65, 4,658.49 and 797.15

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Solution

The fourth proportional to 3,105.65, 4,658.49 and 797.15 is: 1,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.65 : 4,658.49 = 797.15 : x
  2. Step 2: Convert to fraction form
    3,105.65/4,658.49 = 797.15/x
  3. Step 3: Cross multiply
    3,105.65x = 4,658.49 × 797.15
  4. Step 4: Simplify right side
    3,105.65x = 3,713,492.01
  5. Step 5: Solve for x
    x = 3,713,492.01/3,105.65
  6. Step 6: Final answer
    x = 1,195.72

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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.