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Finding the Fourth Proportional to 2,809.57, 4,215.14 and 1,228.43

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Solution

The fourth proportional to 2,809.57, 4,215.14 and 1,228.43 is: 1,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.57 : 4,215.14 = 1,228.43 : x
  2. Step 2: Convert to fraction form
    2,809.57/4,215.14 = 1,228.43/x
  3. Step 3: Cross multiply
    2,809.57x = 4,215.14 × 1,228.43
  4. Step 4: Simplify right side
    2,809.57x = 5,178,004.43
  5. Step 5: Solve for x
    x = 5,178,004.43/2,809.57
  6. Step 6: Final answer
    x = 1,842.99

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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.