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Finding the Fourth Proportional to 2,628.10, 3,684.20 and 2,628.10

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Solution

The fourth proportional to 2,628.10, 3,684.20 and 2,628.10 is: 3,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.10 : 3,684.20 = 2,628.10 : x
  2. Step 2: Convert to fraction form
    2,628.10/3,684.20 = 2,628.10/x
  3. Step 3: Cross multiply
    2,628.10x = 3,684.20 × 2,628.10
  4. Step 4: Simplify right side
    2,628.10x = 9,682,446.02
  5. Step 5: Solve for x
    x = 9,682,446.02/2,628.10
  6. Step 6: Final answer
    x = 3,684.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.