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Finding the Fourth Proportional to 2,292.05, 3,438.41 and 830.86

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Solution

The fourth proportional to 2,292.05, 3,438.41 and 830.86 is: 1,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.05 : 3,438.41 = 830.86 : x
  2. Step 2: Convert to fraction form
    2,292.05/3,438.41 = 830.86/x
  3. Step 3: Cross multiply
    2,292.05x = 3,438.41 × 830.86
  4. Step 4: Simplify right side
    2,292.05x = 2,856,837.33
  5. Step 5: Solve for x
    x = 2,856,837.33/2,292.05
  6. Step 6: Final answer
    x = 1,246.41

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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.