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Finding the Fourth Proportional to 2,984.97, 4,121.31 and 1,866.45

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Solution

The fourth proportional to 2,984.97, 4,121.31 and 1,866.45 is: 2,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.97 : 4,121.31 = 1,866.45 : x
  2. Step 2: Convert to fraction form
    2,984.97/4,121.31 = 1,866.45/x
  3. Step 3: Cross multiply
    2,984.97x = 4,121.31 × 1,866.45
  4. Step 4: Simplify right side
    2,984.97x = 7,692,219.05
  5. Step 5: Solve for x
    x = 7,692,219.05/2,984.97
  6. Step 6: Final answer
    x = 2,576.98

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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.