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Finding the Fourth Proportional to 3,105.01, 4,657.58 and 1,156.83

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Solution

The fourth proportional to 3,105.01, 4,657.58 and 1,156.83 is: 1,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.01 : 4,657.58 = 1,156.83 : x
  2. Step 2: Convert to fraction form
    3,105.01/4,657.58 = 1,156.83/x
  3. Step 3: Cross multiply
    3,105.01x = 4,657.58 × 1,156.83
  4. Step 4: Simplify right side
    3,105.01x = 5,388,028.27
  5. Step 5: Solve for x
    x = 5,388,028.27/3,105.01
  6. Step 6: Final answer
    x = 1,735.27

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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.