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Finding the Fourth Proportional to 4,263.12, 6,392.04 and 1,663

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Solution

The fourth proportional to 4,263.12, 6,392.04 and 1,663 is: 2,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.12 : 6,392.04 = 1,663 : x
  2. Step 2: Convert to fraction form
    4,263.12/6,392.04 = 1,663/x
  3. Step 3: Cross multiply
    4,263.12x = 6,392.04 × 1,663
  4. Step 4: Simplify right side
    4,263.12x = 10,629,962.52
  5. Step 5: Solve for x
    x = 10,629,962.52/4,263.12
  6. Step 6: Final answer
    x = 2,493.47

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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.