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Finding the Fourth Proportional to 2,325.97, 3,209.88 and 1,263.74

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Solution

The fourth proportional to 2,325.97, 3,209.88 and 1,263.74 is: 1,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.97 : 3,209.88 = 1,263.74 : x
  2. Step 2: Convert to fraction form
    2,325.97/3,209.88 = 1,263.74/x
  3. Step 3: Cross multiply
    2,325.97x = 3,209.88 × 1,263.74
  4. Step 4: Simplify right side
    2,325.97x = 4,056,453.75
  5. Step 5: Solve for x
    x = 4,056,453.75/2,325.97
  6. Step 6: Final answer
    x = 1,743.98

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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.