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Finding the Fourth Proportional to 1,723.24, 2,582.54 and 844.38

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Solution

The fourth proportional to 1,723.24, 2,582.54 and 844.38 is: 1,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.24 : 2,582.54 = 844.38 : x
  2. Step 2: Convert to fraction form
    1,723.24/2,582.54 = 844.38/x
  3. Step 3: Cross multiply
    1,723.24x = 2,582.54 × 844.38
  4. Step 4: Simplify right side
    1,723.24x = 2,180,645.13
  5. Step 5: Solve for x
    x = 2,180,645.13/1,723.24
  6. Step 6: Final answer
    x = 1,265.43

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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.