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Finding the Fourth Proportional to 1,601.08, 2,400.16 and 820.08

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Solution

The fourth proportional to 1,601.08, 2,400.16 and 820.08 is: 1,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.08 : 2,400.16 = 820.08 : x
  2. Step 2: Convert to fraction form
    1,601.08/2,400.16 = 820.08/x
  3. Step 3: Cross multiply
    1,601.08x = 2,400.16 × 820.08
  4. Step 4: Simplify right side
    1,601.08x = 1,968,323.21
  5. Step 5: Solve for x
    x = 1,968,323.21/1,601.08
  6. Step 6: Final answer
    x = 1,229.37

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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.