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Finding the Fourth Proportional to 3,133.34, 4,324.10 and 1,736.09

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Solution

The fourth proportional to 3,133.34, 4,324.10 and 1,736.09 is: 2,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.34 : 4,324.10 = 1,736.09 : x
  2. Step 2: Convert to fraction form
    3,133.34/4,324.10 = 1,736.09/x
  3. Step 3: Cross multiply
    3,133.34x = 4,324.10 × 1,736.09
  4. Step 4: Simplify right side
    3,133.34x = 7,507,026.77
  5. Step 5: Solve for x
    x = 7,507,026.77/3,133.34
  6. Step 6: Final answer
    x = 2,395.85

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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.