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Finding the Fourth Proportional to 1,976.58, 2,950.44 and 1,829.97

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Solution

The fourth proportional to 1,976.58, 2,950.44 and 1,829.97 is: 2,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.58 : 2,950.44 = 1,829.97 : x
  2. Step 2: Convert to fraction form
    1,976.58/2,950.44 = 1,829.97/x
  3. Step 3: Cross multiply
    1,976.58x = 2,950.44 × 1,829.97
  4. Step 4: Simplify right side
    1,976.58x = 5,399,216.69
  5. Step 5: Solve for x
    x = 5,399,216.69/1,976.58
  6. Step 6: Final answer
    x = 2,731.60

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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.