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Finding the Fourth Proportional to 2,499.25, 3,749.06 and 960.25

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Solution

The fourth proportional to 2,499.25, 3,749.06 and 960.25 is: 1,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.25 : 3,749.06 = 960.25 : x
  2. Step 2: Convert to fraction form
    2,499.25/3,749.06 = 960.25/x
  3. Step 3: Cross multiply
    2,499.25x = 3,749.06 × 960.25
  4. Step 4: Simplify right side
    2,499.25x = 3,600,034.87
  5. Step 5: Solve for x
    x = 3,600,034.87/2,499.25
  6. Step 6: Final answer
    x = 1,440.45

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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.