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Finding the Fourth Proportional to 2,622.46, 3,932.91 and 773.23

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Solution

The fourth proportional to 2,622.46, 3,932.91 and 773.23 is: 1,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.46 : 3,932.91 = 773.23 : x
  2. Step 2: Convert to fraction form
    2,622.46/3,932.91 = 773.23/x
  3. Step 3: Cross multiply
    2,622.46x = 3,932.91 × 773.23
  4. Step 4: Simplify right side
    2,622.46x = 3,041,044.00
  5. Step 5: Solve for x
    x = 3,041,044.00/2,622.46
  6. Step 6: Final answer
    x = 1,159.62

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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.