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Finding the Fourth Proportional to 2,015.66, 2,781.74 and 1,131.53

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Solution

The fourth proportional to 2,015.66, 2,781.74 and 1,131.53 is: 1,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.66 : 2,781.74 = 1,131.53 : x
  2. Step 2: Convert to fraction form
    2,015.66/2,781.74 = 1,131.53/x
  3. Step 3: Cross multiply
    2,015.66x = 2,781.74 × 1,131.53
  4. Step 4: Simplify right side
    2,015.66x = 3,147,611.18
  5. Step 5: Solve for x
    x = 3,147,611.18/2,015.66
  6. Step 6: Final answer
    x = 1,561.58

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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.