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Finding the Fourth Proportional to 2,507.87, 3,762.05 and 864.20

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Solution

The fourth proportional to 2,507.87, 3,762.05 and 864.20 is: 1,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.87 : 3,762.05 = 864.20 : x
  2. Step 2: Convert to fraction form
    2,507.87/3,762.05 = 864.20/x
  3. Step 3: Cross multiply
    2,507.87x = 3,762.05 × 864.20
  4. Step 4: Simplify right side
    2,507.87x = 3,251,163.61
  5. Step 5: Solve for x
    x = 3,251,163.61/2,507.87
  6. Step 6: Final answer
    x = 1,296.38

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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.