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Finding the Fourth Proportional to 2,686.14, 4,028.37 and 954.42

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Solution

The fourth proportional to 2,686.14, 4,028.37 and 954.42 is: 1,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.14 : 4,028.37 = 954.42 : x
  2. Step 2: Convert to fraction form
    2,686.14/4,028.37 = 954.42/x
  3. Step 3: Cross multiply
    2,686.14x = 4,028.37 × 954.42
  4. Step 4: Simplify right side
    2,686.14x = 3,844,756.90
  5. Step 5: Solve for x
    x = 3,844,756.90/2,686.14
  6. Step 6: Final answer
    x = 1,431.33

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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.