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Finding the Fourth Proportional to 1,583.80, 2,181.14 and 1,549.88

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Solution

The fourth proportional to 1,583.80, 2,181.14 and 1,549.88 is: 2,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.80 : 2,181.14 = 1,549.88 : x
  2. Step 2: Convert to fraction form
    1,583.80/2,181.14 = 1,549.88/x
  3. Step 3: Cross multiply
    1,583.80x = 2,181.14 × 1,549.88
  4. Step 4: Simplify right side
    1,583.80x = 3,380,505.26
  5. Step 5: Solve for x
    x = 3,380,505.26/1,583.80
  6. Step 6: Final answer
    x = 2,134.43

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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.