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Finding the Fourth Proportional to 2,844.16, 4,266.32 and 896.52

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Solution

The fourth proportional to 2,844.16, 4,266.32 and 896.52 is: 1,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.16 : 4,266.32 = 896.52 : x
  2. Step 2: Convert to fraction form
    2,844.16/4,266.32 = 896.52/x
  3. Step 3: Cross multiply
    2,844.16x = 4,266.32 × 896.52
  4. Step 4: Simplify right side
    2,844.16x = 3,824,841.21
  5. Step 5: Solve for x
    x = 3,824,841.21/2,844.16
  6. Step 6: Final answer
    x = 1,344.81

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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.