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Finding the Fourth Proportional to 2,355.95, 3,534.17 and 796.03

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Solution

The fourth proportional to 2,355.95, 3,534.17 and 796.03 is: 1,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.95 : 3,534.17 = 796.03 : x
  2. Step 2: Convert to fraction form
    2,355.95/3,534.17 = 796.03/x
  3. Step 3: Cross multiply
    2,355.95x = 3,534.17 × 796.03
  4. Step 4: Simplify right side
    2,355.95x = 2,813,292.53
  5. Step 5: Solve for x
    x = 2,813,292.53/2,355.95
  6. Step 6: Final answer
    x = 1,194.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.