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Finding the Fourth Proportional to 2,686.92, 3,707.93 and 1,507.96

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Solution

The fourth proportional to 2,686.92, 3,707.93 and 1,507.96 is: 2,080.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.92 : 3,707.93 = 1,507.96 : x
  2. Step 2: Convert to fraction form
    2,686.92/3,707.93 = 1,507.96/x
  3. Step 3: Cross multiply
    2,686.92x = 3,707.93 × 1,507.96
  4. Step 4: Simplify right side
    2,686.92x = 5,591,410.12
  5. Step 5: Solve for x
    x = 5,591,410.12/2,686.92
  6. Step 6: Final answer
    x = 2,080.97

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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.