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Finding the Fourth Proportional to 2,205.74, 3,043.73 and 1,211.01

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Solution

The fourth proportional to 2,205.74, 3,043.73 and 1,211.01 is: 1,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.74 : 3,043.73 = 1,211.01 : x
  2. Step 2: Convert to fraction form
    2,205.74/3,043.73 = 1,211.01/x
  3. Step 3: Cross multiply
    2,205.74x = 3,043.73 × 1,211.01
  4. Step 4: Simplify right side
    2,205.74x = 3,685,981.41
  5. Step 5: Solve for x
    x = 3,685,981.41/2,205.74
  6. Step 6: Final answer
    x = 1,671.09

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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.