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Finding the Fourth Proportional to 2,663.14, 3,996.48 and 931.77

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Solution

The fourth proportional to 2,663.14, 3,996.48 and 931.77 is: 1,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.14 : 3,996.48 = 931.77 : x
  2. Step 2: Convert to fraction form
    2,663.14/3,996.48 = 931.77/x
  3. Step 3: Cross multiply
    2,663.14x = 3,996.48 × 931.77
  4. Step 4: Simplify right side
    2,663.14x = 3,723,780.19
  5. Step 5: Solve for x
    x = 3,723,780.19/2,663.14
  6. Step 6: Final answer
    x = 1,398.27

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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.