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Finding the Fourth Proportional to 3,133.66, 4,324.44 and 1,736.42

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Solution

The fourth proportional to 3,133.66, 4,324.44 and 1,736.42 is: 2,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.66 : 4,324.44 = 1,736.42 : x
  2. Step 2: Convert to fraction form
    3,133.66/4,324.44 = 1,736.42/x
  3. Step 3: Cross multiply
    3,133.66x = 4,324.44 × 1,736.42
  4. Step 4: Simplify right side
    3,133.66x = 7,509,044.10
  5. Step 5: Solve for x
    x = 7,509,044.10/3,133.66
  6. Step 6: Final answer
    x = 2,396.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.