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Finding the Fourth Proportional to 2,191.76, 3,288.12 and 711.12

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Solution

The fourth proportional to 2,191.76, 3,288.12 and 711.12 is: 1,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.76 : 3,288.12 = 711.12 : x
  2. Step 2: Convert to fraction form
    2,191.76/3,288.12 = 711.12/x
  3. Step 3: Cross multiply
    2,191.76x = 3,288.12 × 711.12
  4. Step 4: Simplify right side
    2,191.76x = 2,338,247.89
  5. Step 5: Solve for x
    x = 2,338,247.89/2,191.76
  6. Step 6: Final answer
    x = 1,066.84

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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.