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Finding the Fourth Proportional to 3,193.05, 4,406.42 and 1,866.84

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Solution

The fourth proportional to 3,193.05, 4,406.42 and 1,866.84 is: 2,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.05 : 4,406.42 = 1,866.84 : x
  2. Step 2: Convert to fraction form
    3,193.05/4,406.42 = 1,866.84/x
  3. Step 3: Cross multiply
    3,193.05x = 4,406.42 × 1,866.84
  4. Step 4: Simplify right side
    3,193.05x = 8,226,081.11
  5. Step 5: Solve for x
    x = 8,226,081.11/3,193.05
  6. Step 6: Final answer
    x = 2,576.25

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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.