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Finding the Fourth Proportional to 1,985.82, 2,738.42 and 1,199.40

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Solution

The fourth proportional to 1,985.82, 2,738.42 and 1,199.40 is: 1,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.82 : 2,738.42 = 1,199.40 : x
  2. Step 2: Convert to fraction form
    1,985.82/2,738.42 = 1,199.40/x
  3. Step 3: Cross multiply
    1,985.82x = 2,738.42 × 1,199.40
  4. Step 4: Simplify right side
    1,985.82x = 3,284,460.95
  5. Step 5: Solve for x
    x = 3,284,460.95/1,985.82
  6. Step 6: Final answer
    x = 1,653.96

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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.