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Finding the Fourth Proportional to 1,816.50, 2,722.84 and 841.80

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Solution

The fourth proportional to 1,816.50, 2,722.84 and 841.80 is: 1,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.50 : 2,722.84 = 841.80 : x
  2. Step 2: Convert to fraction form
    1,816.50/2,722.84 = 841.80/x
  3. Step 3: Cross multiply
    1,816.50x = 2,722.84 × 841.80
  4. Step 4: Simplify right side
    1,816.50x = 2,292,086.71
  5. Step 5: Solve for x
    x = 2,292,086.71/1,816.50
  6. Step 6: Final answer
    x = 1,261.81

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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.