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Finding the Fourth Proportional to 2,767.76, 4,155.83 and 2,381.99

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Solution

The fourth proportional to 2,767.76, 4,155.83 and 2,381.99 is: 3,576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.76 : 4,155.83 = 2,381.99 : x
  2. Step 2: Convert to fraction form
    2,767.76/4,155.83 = 2,381.99/x
  3. Step 3: Cross multiply
    2,767.76x = 4,155.83 × 2,381.99
  4. Step 4: Simplify right side
    2,767.76x = 9,899,112.81
  5. Step 5: Solve for x
    x = 9,899,112.81/2,767.76
  6. Step 6: Final answer
    x = 3,576.59

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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.