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Finding the Fourth Proportional to 3,226.80, 4,838 and 1,666.16

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Solution

The fourth proportional to 3,226.80, 4,838 and 1,666.16 is: 2,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.80 : 4,838 = 1,666.16 : x
  2. Step 2: Convert to fraction form
    3,226.80/4,838 = 1,666.16/x
  3. Step 3: Cross multiply
    3,226.80x = 4,838 × 1,666.16
  4. Step 4: Simplify right side
    3,226.80x = 8,060,882.08
  5. Step 5: Solve for x
    x = 8,060,882.08/3,226.80
  6. Step 6: Final answer
    x = 2,498.10

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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.