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Finding the Fourth Proportional to 2,499.76, 3,749.80 and 960.76

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Solution

The fourth proportional to 2,499.76, 3,749.80 and 960.76 is: 1,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.76 : 3,749.80 = 960.76 : x
  2. Step 2: Convert to fraction form
    2,499.76/3,749.80 = 960.76/x
  3. Step 3: Cross multiply
    2,499.76x = 3,749.80 × 960.76
  4. Step 4: Simplify right side
    2,499.76x = 3,602,657.85
  5. Step 5: Solve for x
    x = 3,602,657.85/2,499.76
  6. Step 6: Final answer
    x = 1,441.20

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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.