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Finding the Fourth Proportional to 3,102.63, 4,282.62 and 1,986.57

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Solution

The fourth proportional to 3,102.63, 4,282.62 and 1,986.57 is: 2,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.63 : 4,282.62 = 1,986.57 : x
  2. Step 2: Convert to fraction form
    3,102.63/4,282.62 = 1,986.57/x
  3. Step 3: Cross multiply
    3,102.63x = 4,282.62 × 1,986.57
  4. Step 4: Simplify right side
    3,102.63x = 8,507,728.14
  5. Step 5: Solve for x
    x = 8,507,728.14/3,102.63
  6. Step 6: Final answer
    x = 2,742.11

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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.