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Finding the Fourth Proportional to 2,194.17, 3,292.02 and 1,317.17

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Solution

The fourth proportional to 2,194.17, 3,292.02 and 1,317.17 is: 1,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.17 : 3,292.02 = 1,317.17 : x
  2. Step 2: Convert to fraction form
    2,194.17/3,292.02 = 1,317.17/x
  3. Step 3: Cross multiply
    2,194.17x = 3,292.02 × 1,317.17
  4. Step 4: Simplify right side
    2,194.17x = 4,336,133.52
  5. Step 5: Solve for x
    x = 4,336,133.52/2,194.17
  6. Step 6: Final answer
    x = 1,976.21

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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.