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Finding the Fourth Proportional to 2,325.87, 3,209.68 and 1,263.62

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Solution

The fourth proportional to 2,325.87, 3,209.68 and 1,263.62 is: 1,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.87 : 3,209.68 = 1,263.62 : x
  2. Step 2: Convert to fraction form
    2,325.87/3,209.68 = 1,263.62/x
  3. Step 3: Cross multiply
    2,325.87x = 3,209.68 × 1,263.62
  4. Step 4: Simplify right side
    2,325.87x = 4,055,825.45
  5. Step 5: Solve for x
    x = 4,055,825.45/2,325.87
  6. Step 6: Final answer
    x = 1,743.79

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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.