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Finding the Fourth Proportional to 2,325.82, 3,209.56 and 1,263.54

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Solution

The fourth proportional to 2,325.82, 3,209.56 and 1,263.54 is: 1,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.82 : 3,209.56 = 1,263.54 : x
  2. Step 2: Convert to fraction form
    2,325.82/3,209.56 = 1,263.54/x
  3. Step 3: Cross multiply
    2,325.82x = 3,209.56 × 1,263.54
  4. Step 4: Simplify right side
    2,325.82x = 4,055,407.44
  5. Step 5: Solve for x
    x = 4,055,407.44/2,325.82
  6. Step 6: Final answer
    x = 1,743.65

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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.