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Finding the Fourth Proportional to 2,045.13, 3,067.68 and 506.13

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Solution

The fourth proportional to 2,045.13, 3,067.68 and 506.13 is: 759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.13 : 3,067.68 = 506.13 : x
  2. Step 2: Convert to fraction form
    2,045.13/3,067.68 = 506.13/x
  3. Step 3: Cross multiply
    2,045.13x = 3,067.68 × 506.13
  4. Step 4: Simplify right side
    2,045.13x = 1,552,644.88
  5. Step 5: Solve for x
    x = 1,552,644.88/2,045.13
  6. Step 6: Final answer
    x = 759.19

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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.