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Finding the Fourth Proportional to 2,296.93, 3,443.30 and 835.74

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Solution

The fourth proportional to 2,296.93, 3,443.30 and 835.74 is: 1,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.93 : 3,443.30 = 835.74 : x
  2. Step 2: Convert to fraction form
    2,296.93/3,443.30 = 835.74/x
  3. Step 3: Cross multiply
    2,296.93x = 3,443.30 × 835.74
  4. Step 4: Simplify right side
    2,296.93x = 2,877,686.33
  5. Step 5: Solve for x
    x = 2,877,686.33/2,296.93
  6. Step 6: Final answer
    x = 1,252.84

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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.