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Finding the Fourth Proportional to 2,707.56, 3,735.72 and 1,657.80

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Solution

The fourth proportional to 2,707.56, 3,735.72 and 1,657.80 is: 2,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.56 : 3,735.72 = 1,657.80 : x
  2. Step 2: Convert to fraction form
    2,707.56/3,735.72 = 1,657.80/x
  3. Step 3: Cross multiply
    2,707.56x = 3,735.72 × 1,657.80
  4. Step 4: Simplify right side
    2,707.56x = 6,193,076.62
  5. Step 5: Solve for x
    x = 6,193,076.62/2,707.56
  6. Step 6: Final answer
    x = 2,287.33

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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.