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Finding the Fourth Proportional to 3,195.57, 4,794.66 and 1,415.69

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Solution

The fourth proportional to 3,195.57, 4,794.66 and 1,415.69 is: 2,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.57 : 4,794.66 = 1,415.69 : x
  2. Step 2: Convert to fraction form
    3,195.57/4,794.66 = 1,415.69/x
  3. Step 3: Cross multiply
    3,195.57x = 4,794.66 × 1,415.69
  4. Step 4: Simplify right side
    3,195.57x = 6,787,773.19
  5. Step 5: Solve for x
    x = 6,787,773.19/3,195.57
  6. Step 6: Final answer
    x = 2,124.12

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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.