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Finding the Fourth Proportional to 2,045.43, 3,067.60 and 564.30

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Solution

The fourth proportional to 2,045.43, 3,067.60 and 564.30 is: 846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.43 : 3,067.60 = 564.30 : x
  2. Step 2: Convert to fraction form
    2,045.43/3,067.60 = 564.30/x
  3. Step 3: Cross multiply
    2,045.43x = 3,067.60 × 564.30
  4. Step 4: Simplify right side
    2,045.43x = 1,731,044.74
  5. Step 5: Solve for x
    x = 1,731,044.74/2,045.43
  6. Step 6: Final answer
    x = 846.30

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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.