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Finding the Fourth Proportional to 2,890.41, 4,305.78 and 2,711.13

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Solution

The fourth proportional to 2,890.41, 4,305.78 and 2,711.13 is: 4,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.41 : 4,305.78 = 2,711.13 : x
  2. Step 2: Convert to fraction form
    2,890.41/4,305.78 = 2,711.13/x
  3. Step 3: Cross multiply
    2,890.41x = 4,305.78 × 2,711.13
  4. Step 4: Simplify right side
    2,890.41x = 11,673,529.33
  5. Step 5: Solve for x
    x = 11,673,529.33/2,890.41
  6. Step 6: Final answer
    x = 4,038.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.