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Finding the Fourth Proportional to 2,906.10, 4,359.39 and 1,744.05

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Solution

The fourth proportional to 2,906.10, 4,359.39 and 1,744.05 is: 2,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.10 : 4,359.39 = 1,744.05 : x
  2. Step 2: Convert to fraction form
    2,906.10/4,359.39 = 1,744.05/x
  3. Step 3: Cross multiply
    2,906.10x = 4,359.39 × 1,744.05
  4. Step 4: Simplify right side
    2,906.10x = 7,602,994.13
  5. Step 5: Solve for x
    x = 7,602,994.13/2,906.10
  6. Step 6: Final answer
    x = 2,616.22

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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.