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Finding the Fourth Proportional to 2,520.64, 3,777.06 and 1,286.32

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Solution

The fourth proportional to 2,520.64, 3,777.06 and 1,286.32 is: 1,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.64 : 3,777.06 = 1,286.32 : x
  2. Step 2: Convert to fraction form
    2,520.64/3,777.06 = 1,286.32/x
  3. Step 3: Cross multiply
    2,520.64x = 3,777.06 × 1,286.32
  4. Step 4: Simplify right side
    2,520.64x = 4,858,507.82
  5. Step 5: Solve for x
    x = 4,858,507.82/2,520.64
  6. Step 6: Final answer
    x = 1,927.49

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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.