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Finding the Fourth Proportional to 2,094.81, 2,891.35 and 1,211.12

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Solution

The fourth proportional to 2,094.81, 2,891.35 and 1,211.12 is: 1,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.81 : 2,891.35 = 1,211.12 : x
  2. Step 2: Convert to fraction form
    2,094.81/2,891.35 = 1,211.12/x
  3. Step 3: Cross multiply
    2,094.81x = 2,891.35 × 1,211.12
  4. Step 4: Simplify right side
    2,094.81x = 3,501,769.71
  5. Step 5: Solve for x
    x = 3,501,769.71/2,094.81
  6. Step 6: Final answer
    x = 1,671.64

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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.