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Finding the Fourth Proportional to 2,414.86, 3,622.30 and 953.22

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Solution

The fourth proportional to 2,414.86, 3,622.30 and 953.22 is: 1,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.86 : 3,622.30 = 953.22 : x
  2. Step 2: Convert to fraction form
    2,414.86/3,622.30 = 953.22/x
  3. Step 3: Cross multiply
    2,414.86x = 3,622.30 × 953.22
  4. Step 4: Simplify right side
    2,414.86x = 3,452,848.81
  5. Step 5: Solve for x
    x = 3,452,848.81/2,414.86
  6. Step 6: Final answer
    x = 1,429.83

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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.