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Finding the Fourth Proportional to 2,199.77, 3,035.57 and 1,204.85

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Solution

The fourth proportional to 2,199.77, 3,035.57 and 1,204.85 is: 1,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.77 : 3,035.57 = 1,204.85 : x
  2. Step 2: Convert to fraction form
    2,199.77/3,035.57 = 1,204.85/x
  3. Step 3: Cross multiply
    2,199.77x = 3,035.57 × 1,204.85
  4. Step 4: Simplify right side
    2,199.77x = 3,657,408.08
  5. Step 5: Solve for x
    x = 3,657,408.08/2,199.77
  6. Step 6: Final answer
    x = 1,662.64

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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.