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Finding the Fourth Proportional to 2,069.86, 3,104.46 and 1,720.70

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Solution

The fourth proportional to 2,069.86, 3,104.46 and 1,720.70 is: 2,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.86 : 3,104.46 = 1,720.70 : x
  2. Step 2: Convert to fraction form
    2,069.86/3,104.46 = 1,720.70/x
  3. Step 3: Cross multiply
    2,069.86x = 3,104.46 × 1,720.70
  4. Step 4: Simplify right side
    2,069.86x = 5,341,844.32
  5. Step 5: Solve for x
    x = 5,341,844.32/2,069.86
  6. Step 6: Final answer
    x = 2,580.78

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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.