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Finding the Fourth Proportional to 2,906.68, 4,011.20 and 1,580.39

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Solution

The fourth proportional to 2,906.68, 4,011.20 and 1,580.39 is: 2,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.68 : 4,011.20 = 1,580.39 : x
  2. Step 2: Convert to fraction form
    2,906.68/4,011.20 = 1,580.39/x
  3. Step 3: Cross multiply
    2,906.68x = 4,011.20 × 1,580.39
  4. Step 4: Simplify right side
    2,906.68x = 6,339,260.37
  5. Step 5: Solve for x
    x = 6,339,260.37/2,906.68
  6. Step 6: Final answer
    x = 2,180.93

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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.