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Finding the Fourth Proportional to 1,842.71, 2,764.06 and 544.28

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Solution

The fourth proportional to 1,842.71, 2,764.06 and 544.28 is: 816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.71 : 2,764.06 = 544.28 : x
  2. Step 2: Convert to fraction form
    1,842.71/2,764.06 = 544.28/x
  3. Step 3: Cross multiply
    1,842.71x = 2,764.06 × 544.28
  4. Step 4: Simplify right side
    1,842.71x = 1,504,407.40
  5. Step 5: Solve for x
    x = 1,504,407.40/1,842.71
  6. Step 6: Final answer
    x = 816.41

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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.