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Finding the Fourth Proportional to 3,105.44, 4,657.16 and 1,025.05

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Solution

The fourth proportional to 3,105.44, 4,657.16 and 1,025.05 is: 1,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.44 : 4,657.16 = 1,025.05 : x
  2. Step 2: Convert to fraction form
    3,105.44/4,657.16 = 1,025.05/x
  3. Step 3: Cross multiply
    3,105.44x = 4,657.16 × 1,025.05
  4. Step 4: Simplify right side
    3,105.44x = 4,773,821.86
  5. Step 5: Solve for x
    x = 4,773,821.86/3,105.44
  6. Step 6: Final answer
    x = 1,537.25

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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.