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Finding the Fourth Proportional to 2,233.66, 3,348.06 and 1,193.02

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Solution

The fourth proportional to 2,233.66, 3,348.06 and 1,193.02 is: 1,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.66 : 3,348.06 = 1,193.02 : x
  2. Step 2: Convert to fraction form
    2,233.66/3,348.06 = 1,193.02/x
  3. Step 3: Cross multiply
    2,233.66x = 3,348.06 × 1,193.02
  4. Step 4: Simplify right side
    2,233.66x = 3,994,302.54
  5. Step 5: Solve for x
    x = 3,994,302.54/2,233.66
  6. Step 6: Final answer
    x = 1,788.23

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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.