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Finding the Fourth Proportional to 2,756.09, 4,143.24 and 2,553.18

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Solution

The fourth proportional to 2,756.09, 4,143.24 and 2,553.18 is: 3,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.09 : 4,143.24 = 2,553.18 : x
  2. Step 2: Convert to fraction form
    2,756.09/4,143.24 = 2,553.18/x
  3. Step 3: Cross multiply
    2,756.09x = 4,143.24 × 2,553.18
  4. Step 4: Simplify right side
    2,756.09x = 10,578,437.50
  5. Step 5: Solve for x
    x = 10,578,437.50/2,756.09
  6. Step 6: Final answer
    x = 3,838.21

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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.