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Finding the Fourth Proportional to 1,464.22, 2,193.99 and 1,072.41

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Solution

The fourth proportional to 1,464.22, 2,193.99 and 1,072.41 is: 1,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.22 : 2,193.99 = 1,072.41 : x
  2. Step 2: Convert to fraction form
    1,464.22/2,193.99 = 1,072.41/x
  3. Step 3: Cross multiply
    1,464.22x = 2,193.99 × 1,072.41
  4. Step 4: Simplify right side
    1,464.22x = 2,352,856.82
  5. Step 5: Solve for x
    x = 2,352,856.82/1,464.22
  6. Step 6: Final answer
    x = 1,606.90

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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.