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Finding the Fourth Proportional to 2,054.71, 3,083.09 and 959.86

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Solution

The fourth proportional to 2,054.71, 3,083.09 and 959.86 is: 1,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.71 : 3,083.09 = 959.86 : x
  2. Step 2: Convert to fraction form
    2,054.71/3,083.09 = 959.86/x
  3. Step 3: Cross multiply
    2,054.71x = 3,083.09 × 959.86
  4. Step 4: Simplify right side
    2,054.71x = 2,959,322.26
  5. Step 5: Solve for x
    x = 2,959,322.26/2,054.71
  6. Step 6: Final answer
    x = 1,440.26

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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.