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Finding the Fourth Proportional to 2,274.58, 3,394.13 and 2,029.42

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Solution

The fourth proportional to 2,274.58, 3,394.13 and 2,029.42 is: 3,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.58 : 3,394.13 = 2,029.42 : x
  2. Step 2: Convert to fraction form
    2,274.58/3,394.13 = 2,029.42/x
  3. Step 3: Cross multiply
    2,274.58x = 3,394.13 × 2,029.42
  4. Step 4: Simplify right side
    2,274.58x = 6,888,115.30
  5. Step 5: Solve for x
    x = 6,888,115.30/2,274.58
  6. Step 6: Final answer
    x = 3,028.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.