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Finding the Fourth Proportional to 2,774.17, 4,161.12 and 1,720.09

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Solution

The fourth proportional to 2,774.17, 4,161.12 and 1,720.09 is: 2,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.17 : 4,161.12 = 1,720.09 : x
  2. Step 2: Convert to fraction form
    2,774.17/4,161.12 = 1,720.09/x
  3. Step 3: Cross multiply
    2,774.17x = 4,161.12 × 1,720.09
  4. Step 4: Simplify right side
    2,774.17x = 7,157,500.90
  5. Step 5: Solve for x
    x = 7,157,500.90/2,774.17
  6. Step 6: Final answer
    x = 2,580.05

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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.