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Finding the Fourth Proportional to 2,563.65, 3,839.40 and 2,511.41

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Solution

The fourth proportional to 2,563.65, 3,839.40 and 2,511.41 is: 3,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.65 : 3,839.40 = 2,511.41 : x
  2. Step 2: Convert to fraction form
    2,563.65/3,839.40 = 2,511.41/x
  3. Step 3: Cross multiply
    2,563.65x = 3,839.40 × 2,511.41
  4. Step 4: Simplify right side
    2,563.65x = 9,642,288.36
  5. Step 5: Solve for x
    x = 9,642,288.36/2,563.65
  6. Step 6: Final answer
    x = 3,761.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.