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Finding the Fourth Proportional to 2,906.54, 4,010.85 and 1,580.23

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Solution

The fourth proportional to 2,906.54, 4,010.85 and 1,580.23 is: 2,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.54 : 4,010.85 = 1,580.23 : x
  2. Step 2: Convert to fraction form
    2,906.54/4,010.85 = 1,580.23/x
  3. Step 3: Cross multiply
    2,906.54x = 4,010.85 × 1,580.23
  4. Step 4: Simplify right side
    2,906.54x = 6,338,073.47
  5. Step 5: Solve for x
    x = 6,338,073.47/2,906.54
  6. Step 6: Final answer
    x = 2,180.63

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