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Finding the Fourth Proportional to 3,105.70, 4,657.20 and 1,024.90

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Solution

The fourth proportional to 3,105.70, 4,657.20 and 1,024.90 is: 1,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.70 : 4,657.20 = 1,024.90 : x
  2. Step 2: Convert to fraction form
    3,105.70/4,657.20 = 1,024.90/x
  3. Step 3: Cross multiply
    3,105.70x = 4,657.20 × 1,024.90
  4. Step 4: Simplify right side
    3,105.70x = 4,773,164.28
  5. Step 5: Solve for x
    x = 4,773,164.28/3,105.70
  6. Step 6: Final answer
    x = 1,536.90

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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.