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Finding the Fourth Proportional to 2,296.57, 3,442.80 and 835.39

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Solution

The fourth proportional to 2,296.57, 3,442.80 and 835.39 is: 1,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.57 : 3,442.80 = 835.39 : x
  2. Step 2: Convert to fraction form
    2,296.57/3,442.80 = 835.39/x
  3. Step 3: Cross multiply
    2,296.57x = 3,442.80 × 835.39
  4. Step 4: Simplify right side
    2,296.57x = 2,876,080.69
  5. Step 5: Solve for x
    x = 2,876,080.69/2,296.57
  6. Step 6: Final answer
    x = 1,252.34

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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.