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Finding the Fourth Proportional to 2,356.19, 3,534.84 and 796.13

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Solution

The fourth proportional to 2,356.19, 3,534.84 and 796.13 is: 1,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.19 : 3,534.84 = 796.13 : x
  2. Step 2: Convert to fraction form
    2,356.19/3,534.84 = 796.13/x
  3. Step 3: Cross multiply
    2,356.19x = 3,534.84 × 796.13
  4. Step 4: Simplify right side
    2,356.19x = 2,814,187.75
  5. Step 5: Solve for x
    x = 2,814,187.75/2,356.19
  6. Step 6: Final answer
    x = 1,194.38

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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.