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Finding the Fourth Proportional to 2,195.98, 3,292.94 and 734.11

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Solution

The fourth proportional to 2,195.98, 3,292.94 and 734.11 is: 1,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.98 : 3,292.94 = 734.11 : x
  2. Step 2: Convert to fraction form
    2,195.98/3,292.94 = 734.11/x
  3. Step 3: Cross multiply
    2,195.98x = 3,292.94 × 734.11
  4. Step 4: Simplify right side
    2,195.98x = 2,417,373.79
  5. Step 5: Solve for x
    x = 2,417,373.79/2,195.98
  6. Step 6: Final answer
    x = 1,100.82

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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.