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Finding the Fourth Proportional to 2,163.53, 3,228.32 and 2,031.29

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Solution

The fourth proportional to 2,163.53, 3,228.32 and 2,031.29 is: 3,030.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.53 : 3,228.32 = 2,031.29 : x
  2. Step 2: Convert to fraction form
    2,163.53/3,228.32 = 2,031.29/x
  3. Step 3: Cross multiply
    2,163.53x = 3,228.32 × 2,031.29
  4. Step 4: Simplify right side
    2,163.53x = 6,557,644.34
  5. Step 5: Solve for x
    x = 6,557,644.34/2,163.53
  6. Step 6: Final answer
    x = 3,030.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.