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Finding the Fourth Proportional to 2,199.75, 3,035.71 and 1,205.09

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Solution

The fourth proportional to 2,199.75, 3,035.71 and 1,205.09 is: 1,663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.75 : 3,035.71 = 1,205.09 : x
  2. Step 2: Convert to fraction form
    2,199.75/3,035.71 = 1,205.09/x
  3. Step 3: Cross multiply
    2,199.75x = 3,035.71 × 1,205.09
  4. Step 4: Simplify right side
    2,199.75x = 3,658,303.76
  5. Step 5: Solve for x
    x = 3,658,303.76/2,199.75
  6. Step 6: Final answer
    x = 1,663.05

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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.