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Finding the Fourth Proportional to 2,252.96, 3,377.52 and 884

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Solution

The fourth proportional to 2,252.96, 3,377.52 and 884 is: 1,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.96 : 3,377.52 = 884 : x
  2. Step 2: Convert to fraction form
    2,252.96/3,377.52 = 884/x
  3. Step 3: Cross multiply
    2,252.96x = 3,377.52 × 884
  4. Step 4: Simplify right side
    2,252.96x = 2,985,727.68
  5. Step 5: Solve for x
    x = 2,985,727.68/2,252.96
  6. Step 6: Final answer
    x = 1,325.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.