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Finding the Fourth Proportional to 2,976.74, 4,107.21 and 2,046.50

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Solution

The fourth proportional to 2,976.74, 4,107.21 and 2,046.50 is: 2,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.74 : 4,107.21 = 2,046.50 : x
  2. Step 2: Convert to fraction form
    2,976.74/4,107.21 = 2,046.50/x
  3. Step 3: Cross multiply
    2,976.74x = 4,107.21 × 2,046.50
  4. Step 4: Simplify right side
    2,976.74x = 8,405,405.27
  5. Step 5: Solve for x
    x = 8,405,405.27/2,976.74
  6. Step 6: Final answer
    x = 2,823.69

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