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Finding the Fourth Proportional to 2,365.92, 3,241.33 and 2,277.25

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Solution

The fourth proportional to 2,365.92, 3,241.33 and 2,277.25 is: 3,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.92 : 3,241.33 = 2,277.25 : x
  2. Step 2: Convert to fraction form
    2,365.92/3,241.33 = 2,277.25/x
  3. Step 3: Cross multiply
    2,365.92x = 3,241.33 × 2,277.25
  4. Step 4: Simplify right side
    2,365.92x = 7,381,298.87
  5. Step 5: Solve for x
    x = 7,381,298.87/2,365.92
  6. Step 6: Final answer
    x = 3,119.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.