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Finding the Fourth Proportional to 2,629.65, 3,628.80 and 1,450.65

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Solution

The fourth proportional to 2,629.65, 3,628.80 and 1,450.65 is: 2,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.65 : 3,628.80 = 1,450.65 : x
  2. Step 2: Convert to fraction form
    2,629.65/3,628.80 = 1,450.65/x
  3. Step 3: Cross multiply
    2,629.65x = 3,628.80 × 1,450.65
  4. Step 4: Simplify right side
    2,629.65x = 5,264,118.72
  5. Step 5: Solve for x
    x = 5,264,118.72/2,629.65
  6. Step 6: Final answer
    x = 2,001.83

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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.