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Finding the Fourth Proportional to 1,816.36, 2,722.26 and 828.88

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Solution

The fourth proportional to 1,816.36, 2,722.26 and 828.88 is: 1,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.36 : 2,722.26 = 828.88 : x
  2. Step 2: Convert to fraction form
    1,816.36/2,722.26 = 828.88/x
  3. Step 3: Cross multiply
    1,816.36x = 2,722.26 × 828.88
  4. Step 4: Simplify right side
    1,816.36x = 2,256,430.83
  5. Step 5: Solve for x
    x = 2,256,430.83/1,816.36
  6. Step 6: Final answer
    x = 1,242.28

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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.