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Finding the Fourth Proportional to 3,114.08, 4,673.84 and 1,266.20

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Solution

The fourth proportional to 3,114.08, 4,673.84 and 1,266.20 is: 1,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.08 : 4,673.84 = 1,266.20 : x
  2. Step 2: Convert to fraction form
    3,114.08/4,673.84 = 1,266.20/x
  3. Step 3: Cross multiply
    3,114.08x = 4,673.84 × 1,266.20
  4. Step 4: Simplify right side
    3,114.08x = 5,918,016.21
  5. Step 5: Solve for x
    x = 5,918,016.21/3,114.08
  6. Step 6: Final answer
    x = 1,900.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.