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Finding the Fourth Proportional to 2,938.43, 4,407.17 and 1,089.11

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Solution

The fourth proportional to 2,938.43, 4,407.17 and 1,089.11 is: 1,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.43 : 4,407.17 = 1,089.11 : x
  2. Step 2: Convert to fraction form
    2,938.43/4,407.17 = 1,089.11/x
  3. Step 3: Cross multiply
    2,938.43x = 4,407.17 × 1,089.11
  4. Step 4: Simplify right side
    2,938.43x = 4,799,887.47
  5. Step 5: Solve for x
    x = 4,799,887.47/2,938.43
  6. Step 6: Final answer
    x = 1,633.49

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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.