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Finding the Fourth Proportional to 2,661.77, 3,994.47 and 930.39

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Solution

The fourth proportional to 2,661.77, 3,994.47 and 930.39 is: 1,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.77 : 3,994.47 = 930.39 : x
  2. Step 2: Convert to fraction form
    2,661.77/3,994.47 = 930.39/x
  3. Step 3: Cross multiply
    2,661.77x = 3,994.47 × 930.39
  4. Step 4: Simplify right side
    2,661.77x = 3,716,414.94
  5. Step 5: Solve for x
    x = 3,716,414.94/2,661.77
  6. Step 6: Final answer
    x = 1,396.22

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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.