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Finding the Fourth Proportional to 3,021.98, 4,533.17 and 1,073.66

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Solution

The fourth proportional to 3,021.98, 4,533.17 and 1,073.66 is: 1,610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.98 : 4,533.17 = 1,073.66 : x
  2. Step 2: Convert to fraction form
    3,021.98/4,533.17 = 1,073.66/x
  3. Step 3: Cross multiply
    3,021.98x = 4,533.17 × 1,073.66
  4. Step 4: Simplify right side
    3,021.98x = 4,867,055.27
  5. Step 5: Solve for x
    x = 4,867,055.27/3,021.98
  6. Step 6: Final answer
    x = 1,610.55

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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.