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Finding the Fourth Proportional to 2,356.04, 3,534.88 and 796.80

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Solution

The fourth proportional to 2,356.04, 3,534.88 and 796.80 is: 1,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.04 : 3,534.88 = 796.80 : x
  2. Step 2: Convert to fraction form
    2,356.04/3,534.88 = 796.80/x
  3. Step 3: Cross multiply
    2,356.04x = 3,534.88 × 796.80
  4. Step 4: Simplify right side
    2,356.04x = 2,816,592.38
  5. Step 5: Solve for x
    x = 2,816,592.38/2,356.04
  6. Step 6: Final answer
    x = 1,195.48

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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.