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Finding the Fourth Proportional to 3,344.82, 5,014.49 and 1,263.64

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Solution

The fourth proportional to 3,344.82, 5,014.49 and 1,263.64 is: 1,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.82 : 5,014.49 = 1,263.64 : x
  2. Step 2: Convert to fraction form
    3,344.82/5,014.49 = 1,263.64/x
  3. Step 3: Cross multiply
    3,344.82x = 5,014.49 × 1,263.64
  4. Step 4: Simplify right side
    3,344.82x = 6,336,503.83
  5. Step 5: Solve for x
    x = 6,336,503.83/3,344.82
  6. Step 6: Final answer
    x = 1,894.42

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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.