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Finding the Fourth Proportional to 2,662.07, 3,989 and 1,686.12

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Solution

The fourth proportional to 2,662.07, 3,989 and 1,686.12 is: 2,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.07 : 3,989 = 1,686.12 : x
  2. Step 2: Convert to fraction form
    2,662.07/3,989 = 1,686.12/x
  3. Step 3: Cross multiply
    2,662.07x = 3,989 × 1,686.12
  4. Step 4: Simplify right side
    2,662.07x = 6,725,942.65
  5. Step 5: Solve for x
    x = 6,725,942.65/2,662.07
  6. Step 6: Final answer
    x = 2,526.58

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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.