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Finding the Fourth Proportional to 2,499.60, 3,749.81 and 768.23

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Solution

The fourth proportional to 2,499.60, 3,749.81 and 768.23 is: 1,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.60 : 3,749.81 = 768.23 : x
  2. Step 2: Convert to fraction form
    2,499.60/3,749.81 = 768.23/x
  3. Step 3: Cross multiply
    2,499.60x = 3,749.81 × 768.23
  4. Step 4: Simplify right side
    2,499.60x = 2,880,693.95
  5. Step 5: Solve for x
    x = 2,880,693.95/2,499.60
  6. Step 6: Final answer
    x = 1,152.46

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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.