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Finding the Fourth Proportional to 2,324.94, 3,486.08 and 938.94

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Solution

The fourth proportional to 2,324.94, 3,486.08 and 938.94 is: 1,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.94 : 3,486.08 = 938.94 : x
  2. Step 2: Convert to fraction form
    2,324.94/3,486.08 = 938.94/x
  3. Step 3: Cross multiply
    2,324.94x = 3,486.08 × 938.94
  4. Step 4: Simplify right side
    2,324.94x = 3,273,219.96
  5. Step 5: Solve for x
    x = 3,273,219.96/2,324.94
  6. Step 6: Final answer
    x = 1,407.87

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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.