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Finding the Fourth Proportional to 2,062.74, 3,094.26 and 892.98

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Solution

The fourth proportional to 2,062.74, 3,094.26 and 892.98 is: 1,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.74 : 3,094.26 = 892.98 : x
  2. Step 2: Convert to fraction form
    2,062.74/3,094.26 = 892.98/x
  3. Step 3: Cross multiply
    2,062.74x = 3,094.26 × 892.98
  4. Step 4: Simplify right side
    2,062.74x = 2,763,112.29
  5. Step 5: Solve for x
    x = 2,763,112.29/2,062.74
  6. Step 6: Final answer
    x = 1,339.53

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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.