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Finding the Fourth Proportional to 2,663.68, 3,991.68 and 2,087.68

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Solution

The fourth proportional to 2,663.68, 3,991.68 and 2,087.68 is: 3,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.68 : 3,991.68 = 2,087.68 : x
  2. Step 2: Convert to fraction form
    2,663.68/3,991.68 = 2,087.68/x
  3. Step 3: Cross multiply
    2,663.68x = 3,991.68 × 2,087.68
  4. Step 4: Simplify right side
    2,663.68x = 8,333,350.50
  5. Step 5: Solve for x
    x = 8,333,350.50/2,663.68
  6. Step 6: Final answer
    x = 3,128.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.