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Finding the Fourth Proportional to 3,190.78, 4,403.22 and 1,948.78

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Solution

The fourth proportional to 3,190.78, 4,403.22 and 1,948.78 is: 2,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.78 : 4,403.22 = 1,948.78 : x
  2. Step 2: Convert to fraction form
    3,190.78/4,403.22 = 1,948.78/x
  3. Step 3: Cross multiply
    3,190.78x = 4,403.22 × 1,948.78
  4. Step 4: Simplify right side
    3,190.78x = 8,580,907.07
  5. Step 5: Solve for x
    x = 8,580,907.07/3,190.78
  6. Step 6: Final answer
    x = 2,689.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.