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Finding the Fourth Proportional to 3,185.40, 4,395.84 and 1,788.14

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Solution

The fourth proportional to 3,185.40, 4,395.84 and 1,788.14 is: 2,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.40 : 4,395.84 = 1,788.14 : x
  2. Step 2: Convert to fraction form
    3,185.40/4,395.84 = 1,788.14/x
  3. Step 3: Cross multiply
    3,185.40x = 4,395.84 × 1,788.14
  4. Step 4: Simplify right side
    3,185.40x = 7,860,377.34
  5. Step 5: Solve for x
    x = 7,860,377.34/3,185.40
  6. Step 6: Final answer
    x = 2,467.63

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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.