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Finding the Fourth Proportional to 3,233.46, 4,849.14 and 1,673.28

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Solution

The fourth proportional to 3,233.46, 4,849.14 and 1,673.28 is: 2,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.46 : 4,849.14 = 1,673.28 : x
  2. Step 2: Convert to fraction form
    3,233.46/4,849.14 = 1,673.28/x
  3. Step 3: Cross multiply
    3,233.46x = 4,849.14 × 1,673.28
  4. Step 4: Simplify right side
    3,233.46x = 8,113,968.98
  5. Step 5: Solve for x
    x = 8,113,968.98/3,233.46
  6. Step 6: Final answer
    x = 2,509.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.