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Finding the Fourth Proportional to 1,842.87, 2,764.51 and 673.23

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Solution

The fourth proportional to 1,842.87, 2,764.51 and 673.23 is: 1,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.87 : 2,764.51 = 673.23 : x
  2. Step 2: Convert to fraction form
    1,842.87/2,764.51 = 673.23/x
  3. Step 3: Cross multiply
    1,842.87x = 2,764.51 × 673.23
  4. Step 4: Simplify right side
    1,842.87x = 1,861,151.07
  5. Step 5: Solve for x
    x = 1,861,151.07/1,842.87
  6. Step 6: Final answer
    x = 1,009.92

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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.