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Finding the Fourth Proportional to 3,193.28, 4,406.73 and 1,867.01

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Solution

The fourth proportional to 3,193.28, 4,406.73 and 1,867.01 is: 2,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.28 : 4,406.73 = 1,867.01 : x
  2. Step 2: Convert to fraction form
    3,193.28/4,406.73 = 1,867.01/x
  3. Step 3: Cross multiply
    3,193.28x = 4,406.73 × 1,867.01
  4. Step 4: Simplify right side
    3,193.28x = 8,227,386.94
  5. Step 5: Solve for x
    x = 8,227,386.94/3,193.28
  6. Step 6: Final answer
    x = 2,576.47

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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.