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Finding the Fourth Proportional to 1,446.39, 2,167.65 and 1,226.43

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Solution

The fourth proportional to 1,446.39, 2,167.65 and 1,226.43 is: 1,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.39 : 2,167.65 = 1,226.43 : x
  2. Step 2: Convert to fraction form
    1,446.39/2,167.65 = 1,226.43/x
  3. Step 3: Cross multiply
    1,446.39x = 2,167.65 × 1,226.43
  4. Step 4: Simplify right side
    1,446.39x = 2,658,470.99
  5. Step 5: Solve for x
    x = 2,658,470.99/1,446.39
  6. Step 6: Final answer
    x = 1,838.00

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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.