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Finding the Fourth Proportional to 2,325.77, 3,209.94 and 1,732.22

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Solution

The fourth proportional to 2,325.77, 3,209.94 and 1,732.22 is: 2,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.77 : 3,209.94 = 1,732.22 : x
  2. Step 2: Convert to fraction form
    2,325.77/3,209.94 = 1,732.22/x
  3. Step 3: Cross multiply
    2,325.77x = 3,209.94 × 1,732.22
  4. Step 4: Simplify right side
    2,325.77x = 5,560,322.27
  5. Step 5: Solve for x
    x = 5,560,322.27/2,325.77
  6. Step 6: Final answer
    x = 2,390.74

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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.