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Finding the Fourth Proportional to 2,938.43, 4,410.54 and 1,998.50

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Solution

The fourth proportional to 2,938.43, 4,410.54 and 1,998.50 is: 2,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.43 : 4,410.54 = 1,998.50 : x
  2. Step 2: Convert to fraction form
    2,938.43/4,410.54 = 1,998.50/x
  3. Step 3: Cross multiply
    2,938.43x = 4,410.54 × 1,998.50
  4. Step 4: Simplify right side
    2,938.43x = 8,814,464.19
  5. Step 5: Solve for x
    x = 8,814,464.19/2,938.43
  6. Step 6: Final answer
    x = 2,999.72

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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.