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Finding the Fourth Proportional to 2,283.91, 3,426.33 and 823.07

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Solution

The fourth proportional to 2,283.91, 3,426.33 and 823.07 is: 1,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.91 : 3,426.33 = 823.07 : x
  2. Step 2: Convert to fraction form
    2,283.91/3,426.33 = 823.07/x
  3. Step 3: Cross multiply
    2,283.91x = 3,426.33 × 823.07
  4. Step 4: Simplify right side
    2,283.91x = 2,820,109.43
  5. Step 5: Solve for x
    x = 2,820,109.43/2,283.91
  6. Step 6: Final answer
    x = 1,234.77

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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.