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Finding the Fourth Proportional to 2,209, 3,044.58 and 1,976.68

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Solution

The fourth proportional to 2,209, 3,044.58 and 1,976.68 is: 2,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209 : 3,044.58 = 1,976.68 : x
  2. Step 2: Convert to fraction form
    2,209/3,044.58 = 1,976.68/x
  3. Step 3: Cross multiply
    2,209x = 3,044.58 × 1,976.68
  4. Step 4: Simplify right side
    2,209x = 6,018,160.39
  5. Step 5: Solve for x
    x = 6,018,160.39/2,209
  6. Step 6: Final answer
    x = 2,724.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.