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Finding the Fourth Proportional to 2,828.39, 4,223.54 and 2,309.40

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Solution

The fourth proportional to 2,828.39, 4,223.54 and 2,309.40 is: 3,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.39 : 4,223.54 = 2,309.40 : x
  2. Step 2: Convert to fraction form
    2,828.39/4,223.54 = 2,309.40/x
  3. Step 3: Cross multiply
    2,828.39x = 4,223.54 × 2,309.40
  4. Step 4: Simplify right side
    2,828.39x = 9,753,847.57
  5. Step 5: Solve for x
    x = 9,753,847.57/2,828.39
  6. Step 6: Final answer
    x = 3,448.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.