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Finding the Fourth Proportional to 2,811.75, 4,218.12 and 963.06

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Solution

The fourth proportional to 2,811.75, 4,218.12 and 963.06 is: 1,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.75 : 4,218.12 = 963.06 : x
  2. Step 2: Convert to fraction form
    2,811.75/4,218.12 = 963.06/x
  3. Step 3: Cross multiply
    2,811.75x = 4,218.12 × 963.06
  4. Step 4: Simplify right side
    2,811.75x = 4,062,302.65
  5. Step 5: Solve for x
    x = 4,062,302.65/2,811.75
  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.