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Finding the Fourth Proportional to 2,165.43, 3,249.05 and 1,191.45

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Solution

The fourth proportional to 2,165.43, 3,249.05 and 1,191.45 is: 1,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.43 : 3,249.05 = 1,191.45 : x
  2. Step 2: Convert to fraction form
    2,165.43/3,249.05 = 1,191.45/x
  3. Step 3: Cross multiply
    2,165.43x = 3,249.05 × 1,191.45
  4. Step 4: Simplify right side
    2,165.43x = 3,871,074.67
  5. Step 5: Solve for x
    x = 3,871,074.67/2,165.43
  6. Step 6: Final answer
    x = 1,787.67

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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.