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Finding the Fourth Proportional to 3,444.90, 5,165.61 and 1,496.22

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Solution

The fourth proportional to 3,444.90, 5,165.61 and 1,496.22 is: 2,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.90 : 5,165.61 = 1,496.22 : x
  2. Step 2: Convert to fraction form
    3,444.90/5,165.61 = 1,496.22/x
  3. Step 3: Cross multiply
    3,444.90x = 5,165.61 × 1,496.22
  4. Step 4: Simplify right side
    3,444.90x = 7,728,888.99
  5. Step 5: Solve for x
    x = 7,728,888.99/3,444.90
  6. Step 6: Final answer
    x = 2,243.57

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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.