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Finding the Fourth Proportional to 1,472.22, 2,205.09 and 982.98

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Solution

The fourth proportional to 1,472.22, 2,205.09 and 982.98 is: 1,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.22 : 2,205.09 = 982.98 : x
  2. Step 2: Convert to fraction form
    1,472.22/2,205.09 = 982.98/x
  3. Step 3: Cross multiply
    1,472.22x = 2,205.09 × 982.98
  4. Step 4: Simplify right side
    1,472.22x = 2,167,559.37
  5. Step 5: Solve for x
    x = 2,167,559.37/1,472.22
  6. Step 6: Final answer
    x = 1,472.31

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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.