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Finding the Fourth Proportional to 2,045.21, 3,067.82 and 746.51

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Solution

The fourth proportional to 2,045.21, 3,067.82 and 746.51 is: 1,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.21 : 3,067.82 = 746.51 : x
  2. Step 2: Convert to fraction form
    2,045.21/3,067.82 = 746.51/x
  3. Step 3: Cross multiply
    2,045.21x = 3,067.82 × 746.51
  4. Step 4: Simplify right side
    2,045.21x = 2,290,154.58
  5. Step 5: Solve for x
    x = 2,290,154.58/2,045.21
  6. Step 6: Final answer
    x = 1,119.77

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Why These Related Problems?

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