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Finding the Fourth Proportional to 2,557.70, 3,832.74 and 1,323.46

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Solution

The fourth proportional to 2,557.70, 3,832.74 and 1,323.46 is: 1,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.70 : 3,832.74 = 1,323.46 : x
  2. Step 2: Convert to fraction form
    2,557.70/3,832.74 = 1,323.46/x
  3. Step 3: Cross multiply
    2,557.70x = 3,832.74 × 1,323.46
  4. Step 4: Simplify right side
    2,557.70x = 5,072,478.08
  5. Step 5: Solve for x
    x = 5,072,478.08/2,557.70
  6. Step 6: Final answer
    x = 1,983.22

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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.