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Finding the Fourth Proportional to 2,906.86, 4,360.69 and 1,057.76

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Solution

The fourth proportional to 2,906.86, 4,360.69 and 1,057.76 is: 1,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.86 : 4,360.69 = 1,057.76 : x
  2. Step 2: Convert to fraction form
    2,906.86/4,360.69 = 1,057.76/x
  3. Step 3: Cross multiply
    2,906.86x = 4,360.69 × 1,057.76
  4. Step 4: Simplify right side
    2,906.86x = 4,612,563.45
  5. Step 5: Solve for x
    x = 4,612,563.45/2,906.86
  6. Step 6: Final answer
    x = 1,586.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.