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Finding the Fourth Proportional to 1,819.71, 2,729.94 and 587.43

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Solution

The fourth proportional to 1,819.71, 2,729.94 and 587.43 is: 881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.71 : 2,729.94 = 587.43 : x
  2. Step 2: Convert to fraction form
    1,819.71/2,729.94 = 587.43/x
  3. Step 3: Cross multiply
    1,819.71x = 2,729.94 × 587.43
  4. Step 4: Simplify right side
    1,819.71x = 1,603,648.65
  5. Step 5: Solve for x
    x = 1,603,648.65/1,819.71
  6. Step 6: Final answer
    x = 881.27

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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.