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Finding the Fourth Proportional to 2,299.08, 3,448.26 and 838.92

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Solution

The fourth proportional to 2,299.08, 3,448.26 and 838.92 is: 1,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.08 : 3,448.26 = 838.92 : x
  2. Step 2: Convert to fraction form
    2,299.08/3,448.26 = 838.92/x
  3. Step 3: Cross multiply
    2,299.08x = 3,448.26 × 838.92
  4. Step 4: Simplify right side
    2,299.08x = 2,892,814.28
  5. Step 5: Solve for x
    x = 2,892,814.28/2,299.08
  6. Step 6: Final answer
    x = 1,258.25

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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.