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Finding the Fourth Proportional to 3,193.19, 4,406.90 and 1,866.81

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Solution

The fourth proportional to 3,193.19, 4,406.90 and 1,866.81 is: 2,576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.19 : 4,406.90 = 1,866.81 : x
  2. Step 2: Convert to fraction form
    3,193.19/4,406.90 = 1,866.81/x
  3. Step 3: Cross multiply
    3,193.19x = 4,406.90 × 1,866.81
  4. Step 4: Simplify right side
    3,193.19x = 8,226,835.65
  5. Step 5: Solve for x
    x = 8,226,835.65/3,193.19
  6. Step 6: Final answer
    x = 2,576.37

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Why These Related Problems?

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