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Finding the Fourth Proportional to 2,306.96, 3,461.79 and 846.22

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Solution

The fourth proportional to 2,306.96, 3,461.79 and 846.22 is: 1,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.96 : 3,461.79 = 846.22 : x
  2. Step 2: Convert to fraction form
    2,306.96/3,461.79 = 846.22/x
  3. Step 3: Cross multiply
    2,306.96x = 3,461.79 × 846.22
  4. Step 4: Simplify right side
    2,306.96x = 2,929,418.62
  5. Step 5: Solve for x
    x = 2,929,418.62/2,306.96
  6. Step 6: Final answer
    x = 1,269.82

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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.