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Finding the Fourth Proportional to 2,144.16, 3,214.08 and 844.32

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Solution

The fourth proportional to 2,144.16, 3,214.08 and 844.32 is: 1,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.16 : 3,214.08 = 844.32 : x
  2. Step 2: Convert to fraction form
    2,144.16/3,214.08 = 844.32/x
  3. Step 3: Cross multiply
    2,144.16x = 3,214.08 × 844.32
  4. Step 4: Simplify right side
    2,144.16x = 2,713,712.03
  5. Step 5: Solve for x
    x = 2,713,712.03/2,144.16
  6. Step 6: Final answer
    x = 1,265.63

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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.