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Finding the Fourth Proportional to 2,109.44, 2,910.42 and 1,665.92

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Solution

The fourth proportional to 2,109.44, 2,910.42 and 1,665.92 is: 2,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.44 : 2,910.42 = 1,665.92 : x
  2. Step 2: Convert to fraction form
    2,109.44/2,910.42 = 1,665.92/x
  3. Step 3: Cross multiply
    2,109.44x = 2,910.42 × 1,665.92
  4. Step 4: Simplify right side
    2,109.44x = 4,848,526.89
  5. Step 5: Solve for x
    x = 4,848,526.89/2,109.44
  6. Step 6: Final answer
    x = 2,298.49

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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.