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Finding the Fourth Proportional to 2,906.29, 4,009.76 and 1,647.24

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Solution

The fourth proportional to 2,906.29, 4,009.76 and 1,647.24 is: 2,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.29 : 4,009.76 = 1,647.24 : x
  2. Step 2: Convert to fraction form
    2,906.29/4,009.76 = 1,647.24/x
  3. Step 3: Cross multiply
    2,906.29x = 4,009.76 × 1,647.24
  4. Step 4: Simplify right side
    2,906.29x = 6,605,037.06
  5. Step 5: Solve for x
    x = 6,605,037.06/2,906.29
  6. Step 6: Final answer
    x = 2,272.67

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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.