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Finding the Fourth Proportional to 1,993,092, 2,989,638 and 646,381.14

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Solution

The fourth proportional to 1,993,092, 2,989,638 and 646,381.14 is: 969,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,092 : 2,989,638 = 646,381.14 : x
  2. Step 2: Convert to fraction form
    1,993,092/2,989,638 = 646,381.14/x
  3. Step 3: Cross multiply
    1,993,092x = 2,989,638 × 646,381.14
  4. Step 4: Simplify right side
    1,993,092x = 1,932,445,618,627.32
  5. Step 5: Solve for x
    x = 1,932,445,618,627.32/1,993,092
  6. Step 6: Final answer
    x = 969,571.71

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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.