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Finding the Fourth Proportional to 2,776.53, 3,811.56 and 2,382.87

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Solution

The fourth proportional to 2,776.53, 3,811.56 and 2,382.87 is: 3,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.53 : 3,811.56 = 2,382.87 : x
  2. Step 2: Convert to fraction form
    2,776.53/3,811.56 = 2,382.87/x
  3. Step 3: Cross multiply
    2,776.53x = 3,811.56 × 2,382.87
  4. Step 4: Simplify right side
    2,776.53x = 9,082,451.98
  5. Step 5: Solve for x
    x = 9,082,451.98/2,776.53
  6. Step 6: Final answer
    x = 3,271.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.