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Finding the Fourth Proportional to 2,628.53, 3,629.23 and 1,686.75

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Solution

The fourth proportional to 2,628.53, 3,629.23 and 1,686.75 is: 2,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.53 : 3,629.23 = 1,686.75 : x
  2. Step 2: Convert to fraction form
    2,628.53/3,629.23 = 1,686.75/x
  3. Step 3: Cross multiply
    2,628.53x = 3,629.23 × 1,686.75
  4. Step 4: Simplify right side
    2,628.53x = 6,121,599.49
  5. Step 5: Solve for x
    x = 6,121,599.49/2,628.53
  6. Step 6: Final answer
    x = 2,328.90

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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.