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Finding the Fourth Proportional to 2,558.38, 3,838.11 and 1,019.38

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Solution

The fourth proportional to 2,558.38, 3,838.11 and 1,019.38 is: 1,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.38 : 3,838.11 = 1,019.38 : x
  2. Step 2: Convert to fraction form
    2,558.38/3,838.11 = 1,019.38/x
  3. Step 3: Cross multiply
    2,558.38x = 3,838.11 × 1,019.38
  4. Step 4: Simplify right side
    2,558.38x = 3,912,492.57
  5. Step 5: Solve for x
    x = 3,912,492.57/2,558.38
  6. Step 6: Final answer
    x = 1,529.29

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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.