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Finding the Fourth Proportional to 1,466.92, 2,199.21 and 1,003.54

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Solution

The fourth proportional to 1,466.92, 2,199.21 and 1,003.54 is: 1,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.92 : 2,199.21 = 1,003.54 : x
  2. Step 2: Convert to fraction form
    1,466.92/2,199.21 = 1,003.54/x
  3. Step 3: Cross multiply
    1,466.92x = 2,199.21 × 1,003.54
  4. Step 4: Simplify right side
    1,466.92x = 2,206,995.20
  5. Step 5: Solve for x
    x = 2,206,995.20/1,466.92
  6. Step 6: Final answer
    x = 1,504.51

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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.