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Finding the Fourth Proportional to 2,906.20, 4,360.14 and 958.60

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Solution

The fourth proportional to 2,906.20, 4,360.14 and 958.60 is: 1,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.20 : 4,360.14 = 958.60 : x
  2. Step 2: Convert to fraction form
    2,906.20/4,360.14 = 958.60/x
  3. Step 3: Cross multiply
    2,906.20x = 4,360.14 × 958.60
  4. Step 4: Simplify right side
    2,906.20x = 4,179,630.20
  5. Step 5: Solve for x
    x = 4,179,630.20/2,906.20
  6. Step 6: Final answer
    x = 1,438.18

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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.