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Finding the Fourth Proportional to 1,659.84, 2,290.80 and 1,608.84

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Solution

The fourth proportional to 1,659.84, 2,290.80 and 1,608.84 is: 2,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.84 : 2,290.80 = 1,608.84 : x
  2. Step 2: Convert to fraction form
    1,659.84/2,290.80 = 1,608.84/x
  3. Step 3: Cross multiply
    1,659.84x = 2,290.80 × 1,608.84
  4. Step 4: Simplify right side
    1,659.84x = 3,685,530.67
  5. Step 5: Solve for x
    x = 3,685,530.67/1,659.84
  6. Step 6: Final answer
    x = 2,220.41

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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.