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Finding the Fourth Proportional to 1,608.94, 2,220.74 and 910.72

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Solution

The fourth proportional to 1,608.94, 2,220.74 and 910.72 is: 1,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.94 : 2,220.74 = 910.72 : x
  2. Step 2: Convert to fraction form
    1,608.94/2,220.74 = 910.72/x
  3. Step 3: Cross multiply
    1,608.94x = 2,220.74 × 910.72
  4. Step 4: Simplify right side
    1,608.94x = 2,022,469.06
  5. Step 5: Solve for x
    x = 2,022,469.06/1,608.94
  6. Step 6: Final answer
    x = 1,257.02

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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.