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Finding the Fourth Proportional to 3,435.17, 5,155.79 and 1,770.44

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Solution

The fourth proportional to 3,435.17, 5,155.79 and 1,770.44 is: 2,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.17 : 5,155.79 = 1,770.44 : x
  2. Step 2: Convert to fraction form
    3,435.17/5,155.79 = 1,770.44/x
  3. Step 3: Cross multiply
    3,435.17x = 5,155.79 × 1,770.44
  4. Step 4: Simplify right side
    3,435.17x = 9,127,982.22
  5. Step 5: Solve for x
    x = 9,127,982.22/3,435.17
  6. Step 6: Final answer
    x = 2,657.22

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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.