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Finding the Fourth Proportional to 2,069.56, 3,106.38 and 1,520.20

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Solution

The fourth proportional to 2,069.56, 3,106.38 and 1,520.20 is: 2,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.56 : 3,106.38 = 1,520.20 : x
  2. Step 2: Convert to fraction form
    2,069.56/3,106.38 = 1,520.20/x
  3. Step 3: Cross multiply
    2,069.56x = 3,106.38 × 1,520.20
  4. Step 4: Simplify right side
    2,069.56x = 4,722,318.88
  5. Step 5: Solve for x
    x = 4,722,318.88/2,069.56
  6. Step 6: Final answer
    x = 2,281.80

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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.