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Finding the Fourth Proportional to 2,686.42, 4,029.17 and 712.07

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Solution

The fourth proportional to 2,686.42, 4,029.17 and 712.07 is: 1,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.42 : 4,029.17 = 712.07 : x
  2. Step 2: Convert to fraction form
    2,686.42/4,029.17 = 712.07/x
  3. Step 3: Cross multiply
    2,686.42x = 4,029.17 × 712.07
  4. Step 4: Simplify right side
    2,686.42x = 2,869,027.38
  5. Step 5: Solve for x
    x = 2,869,027.38/2,686.42
  6. Step 6: Final answer
    x = 1,067.98

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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.