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Finding the Fourth Proportional to 2,706.63, 3,735.55 and 1,659.30

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Solution

The fourth proportional to 2,706.63, 3,735.55 and 1,659.30 is: 2,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.63 : 3,735.55 = 1,659.30 : x
  2. Step 2: Convert to fraction form
    2,706.63/3,735.55 = 1,659.30/x
  3. Step 3: Cross multiply
    2,706.63x = 3,735.55 × 1,659.30
  4. Step 4: Simplify right side
    2,706.63x = 6,198,398.12
  5. Step 5: Solve for x
    x = 6,198,398.12/2,706.63
  6. Step 6: Final answer
    x = 2,290.08

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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.