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Finding the Fourth Proportional to 2,670.02, 4,003.81 and 820.49

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Solution

The fourth proportional to 2,670.02, 4,003.81 and 820.49 is: 1,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.02 : 4,003.81 = 820.49 : x
  2. Step 2: Convert to fraction form
    2,670.02/4,003.81 = 820.49/x
  3. Step 3: Cross multiply
    2,670.02x = 4,003.81 × 820.49
  4. Step 4: Simplify right side
    2,670.02x = 3,285,086.07
  5. Step 5: Solve for x
    x = 3,285,086.07/2,670.02
  6. Step 6: Final answer
    x = 1,230.36

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1.5x scale

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.