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Finding the Fourth Proportional to 2,709.20, 3,733.32 and 2,009.36

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Solution

The fourth proportional to 2,709.20, 3,733.32 and 2,009.36 is: 2,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.20 : 3,733.32 = 2,009.36 : x
  2. Step 2: Convert to fraction form
    2,709.20/3,733.32 = 2,009.36/x
  3. Step 3: Cross multiply
    2,709.20x = 3,733.32 × 2,009.36
  4. Step 4: Simplify right side
    2,709.20x = 7,501,583.88
  5. Step 5: Solve for x
    x = 7,501,583.88/2,709.20
  6. Step 6: Final answer
    x = 2,768.93

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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.