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Finding the Fourth Proportional to 2,371.62, 3,269.64 and 1,662.51

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Solution

The fourth proportional to 2,371.62, 3,269.64 and 1,662.51 is: 2,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.62 : 3,269.64 = 1,662.51 : x
  2. Step 2: Convert to fraction form
    2,371.62/3,269.64 = 1,662.51/x
  3. Step 3: Cross multiply
    2,371.62x = 3,269.64 × 1,662.51
  4. Step 4: Simplify right side
    2,371.62x = 5,435,809.20
  5. Step 5: Solve for x
    x = 5,435,809.20/2,371.62
  6. Step 6: Final answer
    x = 2,292.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.