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Finding the Fourth Proportional to 2,872.52, 3,964.50 and 1,754.10

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Solution

The fourth proportional to 2,872.52, 3,964.50 and 1,754.10 is: 2,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.52 : 3,964.50 = 1,754.10 : x
  2. Step 2: Convert to fraction form
    2,872.52/3,964.50 = 1,754.10/x
  3. Step 3: Cross multiply
    2,872.52x = 3,964.50 × 1,754.10
  4. Step 4: Simplify right side
    2,872.52x = 6,954,129.45
  5. Step 5: Solve for x
    x = 6,954,129.45/2,872.52
  6. Step 6: Final answer
    x = 2,420.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.