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Finding the Fourth Proportional to 2,756.76, 3,804.36 and 1,497.83

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Solution

The fourth proportional to 2,756.76, 3,804.36 and 1,497.83 is: 2,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.76 : 3,804.36 = 1,497.83 : x
  2. Step 2: Convert to fraction form
    2,756.76/3,804.36 = 1,497.83/x
  3. Step 3: Cross multiply
    2,756.76x = 3,804.36 × 1,497.83
  4. Step 4: Simplify right side
    2,756.76x = 5,698,284.54
  5. Step 5: Solve for x
    x = 5,698,284.54/2,756.76
  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.