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Finding the Fourth Proportional to 2,467.17, 3,700.21 and 711.79

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Solution

The fourth proportional to 2,467.17, 3,700.21 and 711.79 is: 1,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.17 : 3,700.21 = 711.79 : x
  2. Step 2: Convert to fraction form
    2,467.17/3,700.21 = 711.79/x
  3. Step 3: Cross multiply
    2,467.17x = 3,700.21 × 711.79
  4. Step 4: Simplify right side
    2,467.17x = 2,633,761.45
  5. Step 5: Solve for x
    x = 2,633,761.45/2,467.17
  6. Step 6: Final answer
    x = 1,067.52

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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.