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Finding the Fourth Proportional to 2,325.73, 3,209.53 and 1,263.50

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Solution

The fourth proportional to 2,325.73, 3,209.53 and 1,263.50 is: 1,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.73 : 3,209.53 = 1,263.50 : x
  2. Step 2: Convert to fraction form
    2,325.73/3,209.53 = 1,263.50/x
  3. Step 3: Cross multiply
    2,325.73x = 3,209.53 × 1,263.50
  4. Step 4: Simplify right side
    2,325.73x = 4,055,234.84
  5. Step 5: Solve for x
    x = 4,055,234.84/2,325.73
  6. Step 6: Final answer
    x = 1,743.64

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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.