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Finding the Fourth Proportional to 1,828.24, 2,743.70 and 732.93

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Solution

The fourth proportional to 1,828.24, 2,743.70 and 732.93 is: 1,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.24 : 2,743.70 = 732.93 : x
  2. Step 2: Convert to fraction form
    1,828.24/2,743.70 = 732.93/x
  3. Step 3: Cross multiply
    1,828.24x = 2,743.70 × 732.93
  4. Step 4: Simplify right side
    1,828.24x = 2,010,940.04
  5. Step 5: Solve for x
    x = 2,010,940.04/1,828.24
  6. Step 6: Final answer
    x = 1,099.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.