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Finding the Fourth Proportional to 3,114.06, 4,674.15 and 1,383.90

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Solution

The fourth proportional to 3,114.06, 4,674.15 and 1,383.90 is: 2,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.06 : 4,674.15 = 1,383.90 : x
  2. Step 2: Convert to fraction form
    3,114.06/4,674.15 = 1,383.90/x
  3. Step 3: Cross multiply
    3,114.06x = 4,674.15 × 1,383.90
  4. Step 4: Simplify right side
    3,114.06x = 6,468,556.19
  5. Step 5: Solve for x
    x = 6,468,556.19/3,114.06
  6. Step 6: Final answer
    x = 2,077.21

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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.