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Finding the Fourth Proportional to 1,828.72, 2,729.93 and 1,693.54

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Solution

The fourth proportional to 1,828.72, 2,729.93 and 1,693.54 is: 2,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.72 : 2,729.93 = 1,693.54 : x
  2. Step 2: Convert to fraction form
    1,828.72/2,729.93 = 1,693.54/x
  3. Step 3: Cross multiply
    1,828.72x = 2,729.93 × 1,693.54
  4. Step 4: Simplify right side
    1,828.72x = 4,623,245.65
  5. Step 5: Solve for x
    x = 4,623,245.65/1,828.72
  6. Step 6: Final answer
    x = 2,528.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.