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Finding the Fourth Proportional to 3,201.40, 4,802.26 and 892.92

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Solution

The fourth proportional to 3,201.40, 4,802.26 and 892.92 is: 1,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.40 : 4,802.26 = 892.92 : x
  2. Step 2: Convert to fraction form
    3,201.40/4,802.26 = 892.92/x
  3. Step 3: Cross multiply
    3,201.40x = 4,802.26 × 892.92
  4. Step 4: Simplify right side
    3,201.40x = 4,288,034.00
  5. Step 5: Solve for x
    x = 4,288,034.00/3,201.40
  6. Step 6: Final answer
    x = 1,339.42

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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.