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Finding the Fourth Proportional to 2,199.80, 3,035.72 and 1,205.14

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Solution

The fourth proportional to 2,199.80, 3,035.72 and 1,205.14 is: 1,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.80 : 3,035.72 = 1,205.14 : x
  2. Step 2: Convert to fraction form
    2,199.80/3,035.72 = 1,205.14/x
  3. Step 3: Cross multiply
    2,199.80x = 3,035.72 × 1,205.14
  4. Step 4: Simplify right side
    2,199.80x = 3,658,461.58
  5. Step 5: Solve for x
    x = 3,658,461.58/2,199.80
  6. Step 6: Final answer
    x = 1,663.09

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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.