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Finding the Fourth Proportional to 2,055.77, 3,084.66 and 959.97

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Solution

The fourth proportional to 2,055.77, 3,084.66 and 959.97 is: 1,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.77 : 3,084.66 = 959.97 : x
  2. Step 2: Convert to fraction form
    2,055.77/3,084.66 = 959.97/x
  3. Step 3: Cross multiply
    2,055.77x = 3,084.66 × 959.97
  4. Step 4: Simplify right side
    2,055.77x = 2,961,181.06
  5. Step 5: Solve for x
    x = 2,961,181.06/2,055.77
  6. Step 6: Final answer
    x = 1,440.43

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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.