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Finding the Fourth Proportional to 2,391.18, 3,586.41 and 809.94

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Solution

The fourth proportional to 2,391.18, 3,586.41 and 809.94 is: 1,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.18 : 3,586.41 = 809.94 : x
  2. Step 2: Convert to fraction form
    2,391.18/3,586.41 = 809.94/x
  3. Step 3: Cross multiply
    2,391.18x = 3,586.41 × 809.94
  4. Step 4: Simplify right side
    2,391.18x = 2,904,776.92
  5. Step 5: Solve for x
    x = 2,904,776.92/2,391.18
  6. Step 6: Final answer
    x = 1,214.79

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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.