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Finding the Fourth Proportional to 2,027.42, 2,796.36 and 1,549.95

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Solution

The fourth proportional to 2,027.42, 2,796.36 and 1,549.95 is: 2,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.42 : 2,796.36 = 1,549.95 : x
  2. Step 2: Convert to fraction form
    2,027.42/2,796.36 = 1,549.95/x
  3. Step 3: Cross multiply
    2,027.42x = 2,796.36 × 1,549.95
  4. Step 4: Simplify right side
    2,027.42x = 4,334,221.30
  5. Step 5: Solve for x
    x = 4,334,221.30/2,027.42
  6. Step 6: Final answer
    x = 2,137.80

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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.