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Finding the Fourth Proportional to 2,199.67, 3,035.46 and 1,204.90

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Solution

The fourth proportional to 2,199.67, 3,035.46 and 1,204.90 is: 1,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.67 : 3,035.46 = 1,204.90 : x
  2. Step 2: Convert to fraction form
    2,199.67/3,035.46 = 1,204.90/x
  3. Step 3: Cross multiply
    2,199.67x = 3,035.46 × 1,204.90
  4. Step 4: Simplify right side
    2,199.67x = 3,657,425.75
  5. Step 5: Solve for x
    x = 3,657,425.75/2,199.67
  6. Step 6: Final answer
    x = 1,662.72

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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.