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Finding the Fourth Proportional to 2,029.85, 3,044.43 and 568.67

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Solution

The fourth proportional to 2,029.85, 3,044.43 and 568.67 is: 852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.85 : 3,044.43 = 568.67 : x
  2. Step 2: Convert to fraction form
    2,029.85/3,044.43 = 568.67/x
  3. Step 3: Cross multiply
    2,029.85x = 3,044.43 × 568.67
  4. Step 4: Simplify right side
    2,029.85x = 1,731,268.09
  5. Step 5: Solve for x
    x = 1,731,268.09/2,029.85
  6. Step 6: Final answer
    x = 852.90

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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.