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Finding the Fourth Proportional to 2,069.48, 3,104.21 and 509.48

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Solution

The fourth proportional to 2,069.48, 3,104.21 and 509.48 is: 764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.48 : 3,104.21 = 509.48 : x
  2. Step 2: Convert to fraction form
    2,069.48/3,104.21 = 509.48/x
  3. Step 3: Cross multiply
    2,069.48x = 3,104.21 × 509.48
  4. Step 4: Simplify right side
    2,069.48x = 1,581,532.91
  5. Step 5: Solve for x
    x = 1,581,532.91/2,069.48
  6. Step 6: Final answer
    x = 764.22

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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.