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Finding the Fourth Proportional to 2,191.22, 3,286.70 and 710.40

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Solution

The fourth proportional to 2,191.22, 3,286.70 and 710.40 is: 1,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.22 : 3,286.70 = 710.40 : x
  2. Step 2: Convert to fraction form
    2,191.22/3,286.70 = 710.40/x
  3. Step 3: Cross multiply
    2,191.22x = 3,286.70 × 710.40
  4. Step 4: Simplify right side
    2,191.22x = 2,334,868.13
  5. Step 5: Solve for x
    x = 2,334,868.13/2,191.22
  6. Step 6: Final answer
    x = 1,065.56

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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.