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Finding the Fourth Proportional to 2,768.49, 3,820.08 and 1,649.40

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Solution

The fourth proportional to 2,768.49, 3,820.08 and 1,649.40 is: 2,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.49 : 3,820.08 = 1,649.40 : x
  2. Step 2: Convert to fraction form
    2,768.49/3,820.08 = 1,649.40/x
  3. Step 3: Cross multiply
    2,768.49x = 3,820.08 × 1,649.40
  4. Step 4: Simplify right side
    2,768.49x = 6,300,839.95
  5. Step 5: Solve for x
    x = 6,300,839.95/2,768.49
  6. Step 6: Final answer
    x = 2,275.91

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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.