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Finding the Fourth Proportional to 2,558.76, 3,838.92 and 1,327.05

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Solution

The fourth proportional to 2,558.76, 3,838.92 and 1,327.05 is: 1,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.76 : 3,838.92 = 1,327.05 : x
  2. Step 2: Convert to fraction form
    2,558.76/3,838.92 = 1,327.05/x
  3. Step 3: Cross multiply
    2,558.76x = 3,838.92 × 1,327.05
  4. Step 4: Simplify right side
    2,558.76x = 5,094,438.79
  5. Step 5: Solve for x
    x = 5,094,438.79/2,558.76
  6. Step 6: Final answer
    x = 1,990.98

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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.