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Finding the Fourth Proportional to 2,756.82, 3,804.38 and 1,497.85

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Solution

The fourth proportional to 2,756.82, 3,804.38 and 1,497.85 is: 2,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.82 : 3,804.38 = 1,497.85 : x
  2. Step 2: Convert to fraction form
    2,756.82/3,804.38 = 1,497.85/x
  3. Step 3: Cross multiply
    2,756.82x = 3,804.38 × 1,497.85
  4. Step 4: Simplify right side
    2,756.82x = 5,698,390.58
  5. Step 5: Solve for x
    x = 5,698,390.58/2,756.82
  6. Step 6: Final answer
    x = 2,067.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.