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Finding the Fourth Proportional to 2,687.67, 3,708.93 and 1,508.70

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Solution

The fourth proportional to 2,687.67, 3,708.93 and 1,508.70 is: 2,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.67 : 3,708.93 = 1,508.70 : x
  2. Step 2: Convert to fraction form
    2,687.67/3,708.93 = 1,508.70/x
  3. Step 3: Cross multiply
    2,687.67x = 3,708.93 × 1,508.70
  4. Step 4: Simplify right side
    2,687.67x = 5,595,662.69
  5. Step 5: Solve for x
    x = 5,595,662.69/2,687.67
  6. Step 6: Final answer
    x = 2,081.98

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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.