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Finding the Fourth Proportional to 3,105.05, 4,657.98 and 1,130.42

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Solution

The fourth proportional to 3,105.05, 4,657.98 and 1,130.42 is: 1,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.05 : 4,657.98 = 1,130.42 : x
  2. Step 2: Convert to fraction form
    3,105.05/4,657.98 = 1,130.42/x
  3. Step 3: Cross multiply
    3,105.05x = 4,657.98 × 1,130.42
  4. Step 4: Simplify right side
    3,105.05x = 5,265,463.43
  5. Step 5: Solve for x
    x = 5,265,463.43/3,105.05
  6. Step 6: Final answer
    x = 1,695.78

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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.