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Finding the Fourth Proportional to 2,073.33, 3,109.01 and 756.15

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Solution

The fourth proportional to 2,073.33, 3,109.01 and 756.15 is: 1,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.33 : 3,109.01 = 756.15 : x
  2. Step 2: Convert to fraction form
    2,073.33/3,109.01 = 756.15/x
  3. Step 3: Cross multiply
    2,073.33x = 3,109.01 × 756.15
  4. Step 4: Simplify right side
    2,073.33x = 2,350,874.13
  5. Step 5: Solve for x
    x = 2,350,874.13/2,073.33
  6. Step 6: Final answer
    x = 1,133.86

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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.