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Finding the Fourth Proportional to 1,987.74, 2,743.07 and 1,091.52

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Solution

The fourth proportional to 1,987.74, 2,743.07 and 1,091.52 is: 1,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.74 : 2,743.07 = 1,091.52 : x
  2. Step 2: Convert to fraction form
    1,987.74/2,743.07 = 1,091.52/x
  3. Step 3: Cross multiply
    1,987.74x = 2,743.07 × 1,091.52
  4. Step 4: Simplify right side
    1,987.74x = 2,994,110.31
  5. Step 5: Solve for x
    x = 2,994,110.31/1,987.74
  6. Step 6: Final answer
    x = 1,506.29

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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.