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Finding the Fourth Proportional to 2,498.52, 3,749.94 and 960.60

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Solution

The fourth proportional to 2,498.52, 3,749.94 and 960.60 is: 1,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.52 : 3,749.94 = 960.60 : x
  2. Step 2: Convert to fraction form
    2,498.52/3,749.94 = 960.60/x
  3. Step 3: Cross multiply
    2,498.52x = 3,749.94 × 960.60
  4. Step 4: Simplify right side
    2,498.52x = 3,602,192.36
  5. Step 5: Solve for x
    x = 3,602,192.36/2,498.52
  6. Step 6: Final answer
    x = 1,441.73

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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.