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Finding the Fourth Proportional to 2,296.58, 3,442.84 and 835.45

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Solution

The fourth proportional to 2,296.58, 3,442.84 and 835.45 is: 1,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.58 : 3,442.84 = 835.45 : x
  2. Step 2: Convert to fraction form
    2,296.58/3,442.84 = 835.45/x
  3. Step 3: Cross multiply
    2,296.58x = 3,442.84 × 835.45
  4. Step 4: Simplify right side
    2,296.58x = 2,876,309.98
  5. Step 5: Solve for x
    x = 2,876,309.98/2,296.58
  6. Step 6: Final answer
    x = 1,252.43

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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.