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Finding the Fourth Proportional to 1,746.98, 2,609.85 and 1,249.44

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Solution

The fourth proportional to 1,746.98, 2,609.85 and 1,249.44 is: 1,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.98 : 2,609.85 = 1,249.44 : x
  2. Step 2: Convert to fraction form
    1,746.98/2,609.85 = 1,249.44/x
  3. Step 3: Cross multiply
    1,746.98x = 2,609.85 × 1,249.44
  4. Step 4: Simplify right side
    1,746.98x = 3,260,843.74
  5. Step 5: Solve for x
    x = 3,260,843.74/1,746.98
  6. Step 6: Final answer
    x = 1,866.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.