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Finding the Fourth Proportional to 1,521.26, 2,099.36 and 892.26

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Solution

The fourth proportional to 1,521.26, 2,099.36 and 892.26 is: 1,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.26 : 2,099.36 = 892.26 : x
  2. Step 2: Convert to fraction form
    1,521.26/2,099.36 = 892.26/x
  3. Step 3: Cross multiply
    1,521.26x = 2,099.36 × 892.26
  4. Step 4: Simplify right side
    1,521.26x = 1,873,185.06
  5. Step 5: Solve for x
    x = 1,873,185.06/1,521.26
  6. Step 6: Final answer
    x = 1,231.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.