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Finding the Fourth Proportional to 3,211.74, 4,432.19 and 1,866.87

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Solution

The fourth proportional to 3,211.74, 4,432.19 and 1,866.87 is: 2,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.74 : 4,432.19 = 1,866.87 : x
  2. Step 2: Convert to fraction form
    3,211.74/4,432.19 = 1,866.87/x
  3. Step 3: Cross multiply
    3,211.74x = 4,432.19 × 1,866.87
  4. Step 4: Simplify right side
    3,211.74x = 8,274,313.21
  5. Step 5: Solve for x
    x = 8,274,313.21/3,211.74
  6. Step 6: Final answer
    x = 2,576.27

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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.