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Finding the Fourth Proportional to 1,987.42, 2,742.62 and 1,091.17

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Solution

The fourth proportional to 1,987.42, 2,742.62 and 1,091.17 is: 1,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.42 : 2,742.62 = 1,091.17 : x
  2. Step 2: Convert to fraction form
    1,987.42/2,742.62 = 1,091.17/x
  3. Step 3: Cross multiply
    1,987.42x = 2,742.62 × 1,091.17
  4. Step 4: Simplify right side
    1,987.42x = 2,992,664.67
  5. Step 5: Solve for x
    x = 2,992,664.67/1,987.42
  6. Step 6: Final answer
    x = 1,505.81

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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.