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Finding the Fourth Proportional to 1,819.90, 2,729.83 and 521.36

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Solution

The fourth proportional to 1,819.90, 2,729.83 and 521.36 is: 782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.90 : 2,729.83 = 521.36 : x
  2. Step 2: Convert to fraction form
    1,819.90/2,729.83 = 521.36/x
  3. Step 3: Cross multiply
    1,819.90x = 2,729.83 × 521.36
  4. Step 4: Simplify right side
    1,819.90x = 1,423,224.17
  5. Step 5: Solve for x
    x = 1,423,224.17/1,819.90
  6. Step 6: Final answer
    x = 782.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.