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Finding the Fourth Proportional to 2,205.72, 3,043.85 and 1,211.00

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Solution

The fourth proportional to 2,205.72, 3,043.85 and 1,211.00 is: 1,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.72 : 3,043.85 = 1,211.00 : x
  2. Step 2: Convert to fraction form
    2,205.72/3,043.85 = 1,211.00/x
  3. Step 3: Cross multiply
    2,205.72x = 3,043.85 × 1,211.00
  4. Step 4: Simplify right side
    2,205.72x = 3,686,081.08
  5. Step 5: Solve for x
    x = 3,686,081.08/2,205.72
  6. Step 6: Final answer
    x = 1,671.15

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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.