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Finding the Fourth Proportional to 2,427.75, 3,642.21 and 696.36

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Solution

The fourth proportional to 2,427.75, 3,642.21 and 696.36 is: 1,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.75 : 3,642.21 = 696.36 : x
  2. Step 2: Convert to fraction form
    2,427.75/3,642.21 = 696.36/x
  3. Step 3: Cross multiply
    2,427.75x = 3,642.21 × 696.36
  4. Step 4: Simplify right side
    2,427.75x = 2,536,289.36
  5. Step 5: Solve for x
    x = 2,536,289.36/2,427.75
  6. Step 6: Final answer
    x = 1,044.71

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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.