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Finding the Fourth Proportional to 2,199.46, 3,035.13 and 1,204.54

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Solution

The fourth proportional to 2,199.46, 3,035.13 and 1,204.54 is: 1,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.46 : 3,035.13 = 1,204.54 : x
  2. Step 2: Convert to fraction form
    2,199.46/3,035.13 = 1,204.54/x
  3. Step 3: Cross multiply
    2,199.46x = 3,035.13 × 1,204.54
  4. Step 4: Simplify right side
    2,199.46x = 3,655,935.49
  5. Step 5: Solve for x
    x = 3,655,935.49/2,199.46
  6. Step 6: Final answer
    x = 1,662.20

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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.