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Finding the Fourth Proportional to 1,764.06, 2,644.26 and 838.23

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Solution

The fourth proportional to 1,764.06, 2,644.26 and 838.23 is: 1,256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.06 : 2,644.26 = 838.23 : x
  2. Step 2: Convert to fraction form
    1,764.06/2,644.26 = 838.23/x
  3. Step 3: Cross multiply
    1,764.06x = 2,644.26 × 838.23
  4. Step 4: Simplify right side
    1,764.06x = 2,216,498.06
  5. Step 5: Solve for x
    x = 2,216,498.06/1,764.06
  6. Step 6: Final answer
    x = 1,256.48

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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.