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Finding the Fourth Proportional to 1,453.24, 2,178.06 and 682.12

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Solution

The fourth proportional to 1,453.24, 2,178.06 and 682.12 is: 1,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.24 : 2,178.06 = 682.12 : x
  2. Step 2: Convert to fraction form
    1,453.24/2,178.06 = 682.12/x
  3. Step 3: Cross multiply
    1,453.24x = 2,178.06 × 682.12
  4. Step 4: Simplify right side
    1,453.24x = 1,485,698.29
  5. Step 5: Solve for x
    x = 1,485,698.29/1,453.24
  6. Step 6: Final answer
    x = 1,022.34

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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.