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Finding the Fourth Proportional to 2,686.23, 4,028.88 and 711.88

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Solution

The fourth proportional to 2,686.23, 4,028.88 and 711.88 is: 1,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.23 : 4,028.88 = 711.88 : x
  2. Step 2: Convert to fraction form
    2,686.23/4,028.88 = 711.88/x
  3. Step 3: Cross multiply
    2,686.23x = 4,028.88 × 711.88
  4. Step 4: Simplify right side
    2,686.23x = 2,868,071.69
  5. Step 5: Solve for x
    x = 2,868,071.69/2,686.23
  6. Step 6: Final answer
    x = 1,067.69

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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.