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Finding the Fourth Proportional to 2,894.73, 4,344.53 and 1,252.53

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Solution

The fourth proportional to 2,894.73, 4,344.53 and 1,252.53 is: 1,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.73 : 4,344.53 = 1,252.53 : x
  2. Step 2: Convert to fraction form
    2,894.73/4,344.53 = 1,252.53/x
  3. Step 3: Cross multiply
    2,894.73x = 4,344.53 × 1,252.53
  4. Step 4: Simplify right side
    2,894.73x = 5,441,647.90
  5. Step 5: Solve for x
    x = 5,441,647.90/2,894.73
  6. Step 6: Final answer
    x = 1,879.85

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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.