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Finding the Fourth Proportional to 3,259.06, 4,492.53 and 1,997.78

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Solution

The fourth proportional to 3,259.06, 4,492.53 and 1,997.78 is: 2,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.06 : 4,492.53 = 1,997.78 : x
  2. Step 2: Convert to fraction form
    3,259.06/4,492.53 = 1,997.78/x
  3. Step 3: Cross multiply
    3,259.06x = 4,492.53 × 1,997.78
  4. Step 4: Simplify right side
    3,259.06x = 8,975,086.58
  5. Step 5: Solve for x
    x = 8,975,086.58/3,259.06
  6. Step 6: Final answer
    x = 2,753.89

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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.