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Finding the Fourth Proportional to 2,906.79, 4,011.38 and 1,580.49

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Solution

The fourth proportional to 2,906.79, 4,011.38 and 1,580.49 is: 2,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.79 : 4,011.38 = 1,580.49 : x
  2. Step 2: Convert to fraction form
    2,906.79/4,011.38 = 1,580.49/x
  3. Step 3: Cross multiply
    2,906.79x = 4,011.38 × 1,580.49
  4. Step 4: Simplify right side
    2,906.79x = 6,339,938.07
  5. Step 5: Solve for x
    x = 6,339,938.07/2,906.79
  6. Step 6: Final answer
    x = 2,181.08

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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.