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Finding the Fourth Proportional to 2,161.32, 3,241.11 and 928.08

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Solution

The fourth proportional to 2,161.32, 3,241.11 and 928.08 is: 1,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.32 : 3,241.11 = 928.08 : x
  2. Step 2: Convert to fraction form
    2,161.32/3,241.11 = 928.08/x
  3. Step 3: Cross multiply
    2,161.32x = 3,241.11 × 928.08
  4. Step 4: Simplify right side
    2,161.32x = 3,008,009.37
  5. Step 5: Solve for x
    x = 3,008,009.37/2,161.32
  6. Step 6: Final answer
    x = 1,391.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.