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Finding the Fourth Proportional to 2,195.18, 3,292.95 and 734.34

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Solution

The fourth proportional to 2,195.18, 3,292.95 and 734.34 is: 1,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.18 : 3,292.95 = 734.34 : x
  2. Step 2: Convert to fraction form
    2,195.18/3,292.95 = 734.34/x
  3. Step 3: Cross multiply
    2,195.18x = 3,292.95 × 734.34
  4. Step 4: Simplify right side
    2,195.18x = 2,418,144.90
  5. Step 5: Solve for x
    x = 2,418,144.90/2,195.18
  6. Step 6: Final answer
    x = 1,101.57

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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.