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Finding the Fourth Proportional to 2,144.08, 3,215.80 and 846.44

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Solution

The fourth proportional to 2,144.08, 3,215.80 and 846.44 is: 1,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.08 : 3,215.80 = 846.44 : x
  2. Step 2: Convert to fraction form
    2,144.08/3,215.80 = 846.44/x
  3. Step 3: Cross multiply
    2,144.08x = 3,215.80 × 846.44
  4. Step 4: Simplify right side
    2,144.08x = 2,721,981.75
  5. Step 5: Solve for x
    x = 2,721,981.75/2,144.08
  6. Step 6: Final answer
    x = 1,269.53

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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.