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Finding the Fourth Proportional to 2,813.96, 4,218.12 and 963.82

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Solution

The fourth proportional to 2,813.96, 4,218.12 and 963.82 is: 1,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.96 : 4,218.12 = 963.82 : x
  2. Step 2: Convert to fraction form
    2,813.96/4,218.12 = 963.82/x
  3. Step 3: Cross multiply
    2,813.96x = 4,218.12 × 963.82
  4. Step 4: Simplify right side
    2,813.96x = 4,065,508.42
  5. Step 5: Solve for x
    x = 4,065,508.42/2,813.96
  6. Step 6: Final answer
    x = 1,444.76

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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.