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Finding the Fourth Proportional to 1,986.94, 2,741.96 and 1,147.58

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Solution

The fourth proportional to 1,986.94, 2,741.96 and 1,147.58 is: 1,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.94 : 2,741.96 = 1,147.58 : x
  2. Step 2: Convert to fraction form
    1,986.94/2,741.96 = 1,147.58/x
  3. Step 3: Cross multiply
    1,986.94x = 2,741.96 × 1,147.58
  4. Step 4: Simplify right side
    1,986.94x = 3,146,618.46
  5. Step 5: Solve for x
    x = 3,146,618.46/1,986.94
  6. Step 6: Final answer
    x = 1,583.65

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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.