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Finding the Fourth Proportional to 1,986.83, 2,741.14 and 1,147.52

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Solution

The fourth proportional to 1,986.83, 2,741.14 and 1,147.52 is: 1,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.83 : 2,741.14 = 1,147.52 : x
  2. Step 2: Convert to fraction form
    1,986.83/2,741.14 = 1,147.52/x
  3. Step 3: Cross multiply
    1,986.83x = 2,741.14 × 1,147.52
  4. Step 4: Simplify right side
    1,986.83x = 3,145,496.40
  5. Step 5: Solve for x
    x = 3,145,496.40/1,986.83
  6. Step 6: Final answer
    x = 1,583.17

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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.