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Finding the Fourth Proportional to 2,500.06, 3,746.25 and 960.22

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Solution

The fourth proportional to 2,500.06, 3,746.25 and 960.22 is: 1,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.06 : 3,746.25 = 960.22 : x
  2. Step 2: Convert to fraction form
    2,500.06/3,746.25 = 960.22/x
  3. Step 3: Cross multiply
    2,500.06x = 3,746.25 × 960.22
  4. Step 4: Simplify right side
    2,500.06x = 3,597,224.18
  5. Step 5: Solve for x
    x = 3,597,224.18/2,500.06
  6. Step 6: Final answer
    x = 1,438.86

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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.