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Finding the Fourth Proportional to 2,874.54, 4,292.34 and 2,282.91

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Solution

The fourth proportional to 2,874.54, 4,292.34 and 2,282.91 is: 3,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.54 : 4,292.34 = 2,282.91 : x
  2. Step 2: Convert to fraction form
    2,874.54/4,292.34 = 2,282.91/x
  3. Step 3: Cross multiply
    2,874.54x = 4,292.34 × 2,282.91
  4. Step 4: Simplify right side
    2,874.54x = 9,798,993.03
  5. Step 5: Solve for x
    x = 9,798,993.03/2,874.54
  6. Step 6: Final answer
    x = 3,408.89

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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.