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Finding the Fourth Proportional to 2,906.49, 4,010.80 and 1,580.19

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Solution

The fourth proportional to 2,906.49, 4,010.80 and 1,580.19 is: 2,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.49 : 4,010.80 = 1,580.19 : x
  2. Step 2: Convert to fraction form
    2,906.49/4,010.80 = 1,580.19/x
  3. Step 3: Cross multiply
    2,906.49x = 4,010.80 × 1,580.19
  4. Step 4: Simplify right side
    2,906.49x = 6,337,798.10
  5. Step 5: Solve for x
    x = 6,337,798.10/2,906.49
  6. Step 6: Final answer
    x = 2,180.57

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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.