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Finding the Fourth Proportional to 2,349.06, 3,239.88 and 1,640.67

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Solution

The fourth proportional to 2,349.06, 3,239.88 and 1,640.67 is: 2,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.06 : 3,239.88 = 1,640.67 : x
  2. Step 2: Convert to fraction form
    2,349.06/3,239.88 = 1,640.67/x
  3. Step 3: Cross multiply
    2,349.06x = 3,239.88 × 1,640.67
  4. Step 4: Simplify right side
    2,349.06x = 5,315,573.92
  5. Step 5: Solve for x
    x = 5,315,573.92/2,349.06
  6. Step 6: Final answer
    x = 2,262.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.