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Finding the Fourth Proportional to 2,054.77, 3,083.16 and 958.97

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Solution

The fourth proportional to 2,054.77, 3,083.16 and 958.97 is: 1,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.77 : 3,083.16 = 958.97 : x
  2. Step 2: Convert to fraction form
    2,054.77/3,083.16 = 958.97/x
  3. Step 3: Cross multiply
    2,054.77x = 3,083.16 × 958.97
  4. Step 4: Simplify right side
    2,054.77x = 2,956,657.95
  5. Step 5: Solve for x
    x = 2,956,657.95/2,054.77
  6. Step 6: Final answer
    x = 1,438.93

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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.