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Finding the Fourth Proportional to 2,260.73, 3,388.76 and 945.25

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Solution

The fourth proportional to 2,260.73, 3,388.76 and 945.25 is: 1,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.73 : 3,388.76 = 945.25 : x
  2. Step 2: Convert to fraction form
    2,260.73/3,388.76 = 945.25/x
  3. Step 3: Cross multiply
    2,260.73x = 3,388.76 × 945.25
  4. Step 4: Simplify right side
    2,260.73x = 3,203,212.19
  5. Step 5: Solve for x
    x = 3,203,212.19/2,260.73
  6. Step 6: Final answer
    x = 1,416.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.