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Finding the Fourth Proportional to 3,142.68, 4,709.10 and 1,986

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Solution

The fourth proportional to 3,142.68, 4,709.10 and 1,986 is: 2,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.68 : 4,709.10 = 1,986 : x
  2. Step 2: Convert to fraction form
    3,142.68/4,709.10 = 1,986/x
  3. Step 3: Cross multiply
    3,142.68x = 4,709.10 × 1,986
  4. Step 4: Simplify right side
    3,142.68x = 9,352,272.60
  5. Step 5: Solve for x
    x = 9,352,272.60/3,142.68
  6. Step 6: Final answer
    x = 2,975.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.