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Finding the Fourth Proportional to 2,507.70, 3,756.06 and 2,067.96

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Solution

The fourth proportional to 2,507.70, 3,756.06 and 2,067.96 is: 3,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.70 : 3,756.06 = 2,067.96 : x
  2. Step 2: Convert to fraction form
    2,507.70/3,756.06 = 2,067.96/x
  3. Step 3: Cross multiply
    2,507.70x = 3,756.06 × 2,067.96
  4. Step 4: Simplify right side
    2,507.70x = 7,767,381.84
  5. Step 5: Solve for x
    x = 7,767,381.84/2,507.70
  6. Step 6: Final answer
    x = 3,097.41

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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.