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Finding the Fourth Proportional to 2,247.02, 3,370.71 and 786.14

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Solution

The fourth proportional to 2,247.02, 3,370.71 and 786.14 is: 1,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.02 : 3,370.71 = 786.14 : x
  2. Step 2: Convert to fraction form
    2,247.02/3,370.71 = 786.14/x
  3. Step 3: Cross multiply
    2,247.02x = 3,370.71 × 786.14
  4. Step 4: Simplify right side
    2,247.02x = 2,649,849.96
  5. Step 5: Solve for x
    x = 2,649,849.96/2,247.02
  6. Step 6: Final answer
    x = 1,179.27

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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.