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Finding the Fourth Proportional to 2,686, 3,706.62 and 1,507.10

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Solution

The fourth proportional to 2,686, 3,706.62 and 1,507.10 is: 2,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686 : 3,706.62 = 1,507.10 : x
  2. Step 2: Convert to fraction form
    2,686/3,706.62 = 1,507.10/x
  3. Step 3: Cross multiply
    2,686x = 3,706.62 × 1,507.10
  4. Step 4: Simplify right side
    2,686x = 5,586,247.00
  5. Step 5: Solve for x
    x = 5,586,247.00/2,686
  6. Step 6: Final answer
    x = 2,079.76

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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.