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Finding the Fourth Proportional to 3,245.06, 4,869.75 and 1,193.06

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Solution

The fourth proportional to 3,245.06, 4,869.75 and 1,193.06 is: 1,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.06 : 4,869.75 = 1,193.06 : x
  2. Step 2: Convert to fraction form
    3,245.06/4,869.75 = 1,193.06/x
  3. Step 3: Cross multiply
    3,245.06x = 4,869.75 × 1,193.06
  4. Step 4: Simplify right side
    3,245.06x = 5,809,920.58
  5. Step 5: Solve for x
    x = 5,809,920.58/3,245.06
  6. Step 6: Final answer
    x = 1,790.39

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Why These Related Problems?

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