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Finding the Fourth Proportional to 3,292.22, 4,934.12 and 1,442.84

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Solution

The fourth proportional to 3,292.22, 4,934.12 and 1,442.84 is: 2,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.22 : 4,934.12 = 1,442.84 : x
  2. Step 2: Convert to fraction form
    3,292.22/4,934.12 = 1,442.84/x
  3. Step 3: Cross multiply
    3,292.22x = 4,934.12 × 1,442.84
  4. Step 4: Simplify right side
    3,292.22x = 7,119,145.70
  5. Step 5: Solve for x
    x = 7,119,145.70/3,292.22
  6. Step 6: Final answer
    x = 2,162.41

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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.