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Finding the Fourth Proportional to 3,267.63, 4,900.46 and 1,418.28

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Solution

The fourth proportional to 3,267.63, 4,900.46 and 1,418.28 is: 2,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.63 : 4,900.46 = 1,418.28 : x
  2. Step 2: Convert to fraction form
    3,267.63/4,900.46 = 1,418.28/x
  3. Step 3: Cross multiply
    3,267.63x = 4,900.46 × 1,418.28
  4. Step 4: Simplify right side
    3,267.63x = 6,950,217.32
  5. Step 5: Solve for x
    x = 6,950,217.32/3,267.63
  6. Step 6: Final answer
    x = 2,126.99

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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.