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Finding the Fourth Proportional to 2,090.52, 2,884.94 and 1,206.27

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Solution

The fourth proportional to 2,090.52, 2,884.94 and 1,206.27 is: 1,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.52 : 2,884.94 = 1,206.27 : x
  2. Step 2: Convert to fraction form
    2,090.52/2,884.94 = 1,206.27/x
  3. Step 3: Cross multiply
    2,090.52x = 2,884.94 × 1,206.27
  4. Step 4: Simplify right side
    2,090.52x = 3,480,016.57
  5. Step 5: Solve for x
    x = 3,480,016.57/2,090.52
  6. Step 6: Final answer
    x = 1,664.67

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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.