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Finding the Fourth Proportional to 2,067.16, 3,100.78 and 507.17

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Solution

The fourth proportional to 2,067.16, 3,100.78 and 507.17 is: 760.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.16 : 3,100.78 = 507.17 : x
  2. Step 2: Convert to fraction form
    2,067.16/3,100.78 = 507.17/x
  3. Step 3: Cross multiply
    2,067.16x = 3,100.78 × 507.17
  4. Step 4: Simplify right side
    2,067.16x = 1,572,622.59
  5. Step 5: Solve for x
    x = 1,572,622.59/2,067.16
  6. Step 6: Final answer
    x = 760.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.