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Finding the Fourth Proportional to 2,764.74, 4,147.23 and 817.06

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Solution

The fourth proportional to 2,764.74, 4,147.23 and 817.06 is: 1,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.74 : 4,147.23 = 817.06 : x
  2. Step 2: Convert to fraction form
    2,764.74/4,147.23 = 817.06/x
  3. Step 3: Cross multiply
    2,764.74x = 4,147.23 × 817.06
  4. Step 4: Simplify right side
    2,764.74x = 3,388,535.74
  5. Step 5: Solve for x
    x = 3,388,535.74/2,764.74
  6. Step 6: Final answer
    x = 1,225.63

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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.