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Finding the Fourth Proportional to 1,987.78, 2,743.16 and 1,091.56

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Solution

The fourth proportional to 1,987.78, 2,743.16 and 1,091.56 is: 1,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.78 : 2,743.16 = 1,091.56 : x
  2. Step 2: Convert to fraction form
    1,987.78/2,743.16 = 1,091.56/x
  3. Step 3: Cross multiply
    1,987.78x = 2,743.16 × 1,091.56
  4. Step 4: Simplify right side
    1,987.78x = 2,994,323.73
  5. Step 5: Solve for x
    x = 2,994,323.73/1,987.78
  6. Step 6: Final answer
    x = 1,506.37

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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.