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Finding the Fourth Proportional to 2,665.02, 3,993.88 and 1,689.37

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Solution

The fourth proportional to 2,665.02, 3,993.88 and 1,689.37 is: 2,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.02 : 3,993.88 = 1,689.37 : x
  2. Step 2: Convert to fraction form
    2,665.02/3,993.88 = 1,689.37/x
  3. Step 3: Cross multiply
    2,665.02x = 3,993.88 × 1,689.37
  4. Step 4: Simplify right side
    2,665.02x = 6,747,141.06
  5. Step 5: Solve for x
    x = 6,747,141.06/2,665.02
  6. Step 6: Final answer
    x = 2,531.74

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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.