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Finding the Fourth Proportional to 2,768.39, 3,821.31 and 1,649.68

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Solution

The fourth proportional to 2,768.39, 3,821.31 and 1,649.68 is: 2,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.39 : 3,821.31 = 1,649.68 : x
  2. Step 2: Convert to fraction form
    2,768.39/3,821.31 = 1,649.68/x
  3. Step 3: Cross multiply
    2,768.39x = 3,821.31 × 1,649.68
  4. Step 4: Simplify right side
    2,768.39x = 6,303,950.62
  5. Step 5: Solve for x
    x = 6,303,950.62/2,768.39
  6. Step 6: Final answer
    x = 2,277.11

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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.