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Finding the Fourth Proportional to 2,179.29, 3,008.54 and 1,680.81

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Solution

The fourth proportional to 2,179.29, 3,008.54 and 1,680.81 is: 2,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.29 : 3,008.54 = 1,680.81 : x
  2. Step 2: Convert to fraction form
    2,179.29/3,008.54 = 1,680.81/x
  3. Step 3: Cross multiply
    2,179.29x = 3,008.54 × 1,680.81
  4. Step 4: Simplify right side
    2,179.29x = 5,056,775.71
  5. Step 5: Solve for x
    x = 5,056,775.71/2,179.29
  6. Step 6: Final answer
    x = 2,320.38

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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.