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Finding the Fourth Proportional to 2,869.45, 4,304.63 and 1,226

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Solution

The fourth proportional to 2,869.45, 4,304.63 and 1,226 is: 1,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.45 : 4,304.63 = 1,226 : x
  2. Step 2: Convert to fraction form
    2,869.45/4,304.63 = 1,226/x
  3. Step 3: Cross multiply
    2,869.45x = 4,304.63 × 1,226
  4. Step 4: Simplify right side
    2,869.45x = 5,277,470.25
  5. Step 5: Solve for x
    x = 5,277,470.25/2,869.45
  6. Step 6: Final answer
    x = 1,839.20

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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.