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Finding the Fourth Proportional to 3,185.70, 4,396.29 and 1,788.45

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Solution

The fourth proportional to 3,185.70, 4,396.29 and 1,788.45 is: 2,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.70 : 4,396.29 = 1,788.45 : x
  2. Step 2: Convert to fraction form
    3,185.70/4,396.29 = 1,788.45/x
  3. Step 3: Cross multiply
    3,185.70x = 4,396.29 × 1,788.45
  4. Step 4: Simplify right side
    3,185.70x = 7,862,544.85
  5. Step 5: Solve for x
    x = 7,862,544.85/3,185.70
  6. Step 6: Final answer
    x = 2,468.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.