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Finding the Fourth Proportional to 2,492.00, 3,738 and 1,944.65

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Solution

The fourth proportional to 2,492.00, 3,738 and 1,944.65 is: 2,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.00 : 3,738 = 1,944.65 : x
  2. Step 2: Convert to fraction form
    2,492.00/3,738 = 1,944.65/x
  3. Step 3: Cross multiply
    2,492.00x = 3,738 × 1,944.65
  4. Step 4: Simplify right side
    2,492.00x = 7,269,083.01
  5. Step 5: Solve for x
    x = 7,269,083.01/2,492.00
  6. Step 6: Final answer
    x = 2,916.97

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Why These Related Problems?

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