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Finding the Fourth Proportional to 2,190.28, 3,284.40 and 709.24

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Solution

The fourth proportional to 2,190.28, 3,284.40 and 709.24 is: 1,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.28 : 3,284.40 = 709.24 : x
  2. Step 2: Convert to fraction form
    2,190.28/3,284.40 = 709.24/x
  3. Step 3: Cross multiply
    2,190.28x = 3,284.40 × 709.24
  4. Step 4: Simplify right side
    2,190.28x = 2,329,427.86
  5. Step 5: Solve for x
    x = 2,329,427.86/2,190.28
  6. Step 6: Final answer
    x = 1,063.53

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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.