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Finding the Fourth Proportional to 2,199.65, 3,035.54 and 1,204.94

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Solution

The fourth proportional to 2,199.65, 3,035.54 and 1,204.94 is: 1,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.65 : 3,035.54 = 1,204.94 : x
  2. Step 2: Convert to fraction form
    2,199.65/3,035.54 = 1,204.94/x
  3. Step 3: Cross multiply
    2,199.65x = 3,035.54 × 1,204.94
  4. Step 4: Simplify right side
    2,199.65x = 3,657,622.37
  5. Step 5: Solve for x
    x = 3,657,622.37/2,199.65
  6. Step 6: Final answer
    x = 1,662.82

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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.