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Finding the Fourth Proportional to 2,247.70, 3,370.09 and 1,077.67

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Solution

The fourth proportional to 2,247.70, 3,370.09 and 1,077.67 is: 1,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.70 : 3,370.09 = 1,077.67 : x
  2. Step 2: Convert to fraction form
    2,247.70/3,370.09 = 1,077.67/x
  3. Step 3: Cross multiply
    2,247.70x = 3,370.09 × 1,077.67
  4. Step 4: Simplify right side
    2,247.70x = 3,631,844.89
  5. Step 5: Solve for x
    x = 3,631,844.89/2,247.70
  6. Step 6: Final answer
    x = 1,615.80

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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.