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Finding the Fourth Proportional to 2,069.93, 3,104.88 and 509.96

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Solution

The fourth proportional to 2,069.93, 3,104.88 and 509.96 is: 764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.93 : 3,104.88 = 509.96 : x
  2. Step 2: Convert to fraction form
    2,069.93/3,104.88 = 509.96/x
  3. Step 3: Cross multiply
    2,069.93x = 3,104.88 × 509.96
  4. Step 4: Simplify right side
    2,069.93x = 1,583,350.99
  5. Step 5: Solve for x
    x = 1,583,350.99/2,069.93
  6. Step 6: Final answer
    x = 764.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.