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Finding the Fourth Proportional to 1,608.77, 2,220.84 and 945.68

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Solution

The fourth proportional to 1,608.77, 2,220.84 and 945.68 is: 1,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.77 : 2,220.84 = 945.68 : x
  2. Step 2: Convert to fraction form
    1,608.77/2,220.84 = 945.68/x
  3. Step 3: Cross multiply
    1,608.77x = 2,220.84 × 945.68
  4. Step 4: Simplify right side
    1,608.77x = 2,100,192.87
  5. Step 5: Solve for x
    x = 2,100,192.87/1,608.77
  6. Step 6: Final answer
    x = 1,305.46

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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.