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Finding the Fourth Proportional to 3,105.34, 4,658.01 and 1,350.28

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Solution

The fourth proportional to 3,105.34, 4,658.01 and 1,350.28 is: 2,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.34 : 4,658.01 = 1,350.28 : x
  2. Step 2: Convert to fraction form
    3,105.34/4,658.01 = 1,350.28/x
  3. Step 3: Cross multiply
    3,105.34x = 4,658.01 × 1,350.28
  4. Step 4: Simplify right side
    3,105.34x = 6,289,617.74
  5. Step 5: Solve for x
    x = 6,289,617.74/3,105.34
  6. Step 6: Final answer
    x = 2,025.42

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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.