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Finding the Fourth Proportional to 2,507.87, 3,764.45 and 1,850.51

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Solution

The fourth proportional to 2,507.87, 3,764.45 and 1,850.51 is: 2,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.87 : 3,764.45 = 1,850.51 : x
  2. Step 2: Convert to fraction form
    2,507.87/3,764.45 = 1,850.51/x
  3. Step 3: Cross multiply
    2,507.87x = 3,764.45 × 1,850.51
  4. Step 4: Simplify right side
    2,507.87x = 6,966,124.29
  5. Step 5: Solve for x
    x = 6,966,124.29/2,507.87
  6. Step 6: Final answer
    x = 2,777.71

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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.