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Finding the Fourth Proportional to 2,054.14, 3,083.07 and 959.14

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Solution

The fourth proportional to 2,054.14, 3,083.07 and 959.14 is: 1,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.14 : 3,083.07 = 959.14 : x
  2. Step 2: Convert to fraction form
    2,054.14/3,083.07 = 959.14/x
  3. Step 3: Cross multiply
    2,054.14x = 3,083.07 × 959.14
  4. Step 4: Simplify right side
    2,054.14x = 2,957,095.76
  5. Step 5: Solve for x
    x = 2,957,095.76/2,054.14
  6. Step 6: Final answer
    x = 1,439.58

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1.5x scale

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.