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Finding the Fourth Proportional to 2,518.65, 3,777.84 and 1,286.01

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Solution

The fourth proportional to 2,518.65, 3,777.84 and 1,286.01 is: 1,928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.65 : 3,777.84 = 1,286.01 : x
  2. Step 2: Convert to fraction form
    2,518.65/3,777.84 = 1,286.01/x
  3. Step 3: Cross multiply
    2,518.65x = 3,777.84 × 1,286.01
  4. Step 4: Simplify right side
    2,518.65x = 4,858,340.02
  5. Step 5: Solve for x
    x = 4,858,340.02/2,518.65
  6. Step 6: Final answer
    x = 1,928.95

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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.