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Finding the Fourth Proportional to 3,263.66, 4,896.52 and 2,278.80

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Solution

The fourth proportional to 3,263.66, 4,896.52 and 2,278.80 is: 3,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.66 : 4,896.52 = 2,278.80 : x
  2. Step 2: Convert to fraction form
    3,263.66/4,896.52 = 2,278.80/x
  3. Step 3: Cross multiply
    3,263.66x = 4,896.52 × 2,278.80
  4. Step 4: Simplify right side
    3,263.66x = 11,158,189.78
  5. Step 5: Solve for x
    x = 11,158,189.78/3,263.66
  6. Step 6: Final answer
    x = 3,418.92

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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.