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Finding the Fourth Proportional to 2,986.52, 4,122.23 and 1,866.83

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Solution

The fourth proportional to 2,986.52, 4,122.23 and 1,866.83 is: 2,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.52 : 4,122.23 = 1,866.83 : x
  2. Step 2: Convert to fraction form
    2,986.52/4,122.23 = 1,866.83/x
  3. Step 3: Cross multiply
    2,986.52x = 4,122.23 × 1,866.83
  4. Step 4: Simplify right side
    2,986.52x = 7,695,472.69
  5. Step 5: Solve for x
    x = 7,695,472.69/2,986.52
  6. Step 6: Final answer
    x = 2,576.74

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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.