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Finding the Fourth Proportional to 2,119.63, 3,180.93 and 1,427.62

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Solution

The fourth proportional to 2,119.63, 3,180.93 and 1,427.62 is: 2,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.63 : 3,180.93 = 1,427.62 : x
  2. Step 2: Convert to fraction form
    2,119.63/3,180.93 = 1,427.62/x
  3. Step 3: Cross multiply
    2,119.63x = 3,180.93 × 1,427.62
  4. Step 4: Simplify right side
    2,119.63x = 4,541,159.29
  5. Step 5: Solve for x
    x = 4,541,159.29/2,119.63
  6. Step 6: Final answer
    x = 2,142.43

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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.