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Finding the Fourth Proportional to 2,170.28, 3,256.11 and 709.10

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Solution

The fourth proportional to 2,170.28, 3,256.11 and 709.10 is: 1,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.28 : 3,256.11 = 709.10 : x
  2. Step 2: Convert to fraction form
    2,170.28/3,256.11 = 709.10/x
  3. Step 3: Cross multiply
    2,170.28x = 3,256.11 × 709.10
  4. Step 4: Simplify right side
    2,170.28x = 2,308,891.32
  5. Step 5: Solve for x
    x = 2,308,891.32/2,170.28
  6. Step 6: Final answer
    x = 1,063.87

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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.