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Finding the Fourth Proportional to 2,357.89, 3,256.08 and 1,520.56

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Solution

The fourth proportional to 2,357.89, 3,256.08 and 1,520.56 is: 2,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.89 : 3,256.08 = 1,520.56 : x
  2. Step 2: Convert to fraction form
    2,357.89/3,256.08 = 1,520.56/x
  3. Step 3: Cross multiply
    2,357.89x = 3,256.08 × 1,520.56
  4. Step 4: Simplify right side
    2,357.89x = 4,951,048.72
  5. Step 5: Solve for x
    x = 4,951,048.72/2,357.89
  6. Step 6: Final answer
    x = 2,099.78

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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.