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Finding the Fourth Proportional to 2,479.36, 3,716.44 and 835.34

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Solution

The fourth proportional to 2,479.36, 3,716.44 and 835.34 is: 1,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.36 : 3,716.44 = 835.34 : x
  2. Step 2: Convert to fraction form
    2,479.36/3,716.44 = 835.34/x
  3. Step 3: Cross multiply
    2,479.36x = 3,716.44 × 835.34
  4. Step 4: Simplify right side
    2,479.36x = 3,104,479.14
  5. Step 5: Solve for x
    x = 3,104,479.14/2,479.36
  6. Step 6: Final answer
    x = 1,252.13

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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.