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Finding the Fourth Proportional to 2,629.10, 3,685.60 and 2,629.10

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Solution

The fourth proportional to 2,629.10, 3,685.60 and 2,629.10 is: 3,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.10 : 3,685.60 = 2,629.10 : x
  2. Step 2: Convert to fraction form
    2,629.10/3,685.60 = 2,629.10/x
  3. Step 3: Cross multiply
    2,629.10x = 3,685.60 × 2,629.10
  4. Step 4: Simplify right side
    2,629.10x = 9,689,810.96
  5. Step 5: Solve for x
    x = 9,689,810.96/2,629.10
  6. Step 6: Final answer
    x = 3,685.60

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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.