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Finding the Fourth Proportional to 2,263.68, 3,392.42 and 2,197.17

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Solution

The fourth proportional to 2,263.68, 3,392.42 and 2,197.17 is: 3,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.68 : 3,392.42 = 2,197.17 : x
  2. Step 2: Convert to fraction form
    2,263.68/3,392.42 = 2,197.17/x
  3. Step 3: Cross multiply
    2,263.68x = 3,392.42 × 2,197.17
  4. Step 4: Simplify right side
    2,263.68x = 7,453,712.47
  5. Step 5: Solve for x
    x = 7,453,712.47/2,263.68
  6. Step 6: Final answer
    x = 3,292.74

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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.