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Finding the Fourth Proportional to 1,767.36, 2,633.28 and 1,668

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Solution

The fourth proportional to 1,767.36, 2,633.28 and 1,668 is: 2,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.36 : 2,633.28 = 1,668 : x
  2. Step 2: Convert to fraction form
    1,767.36/2,633.28 = 1,668/x
  3. Step 3: Cross multiply
    1,767.36x = 2,633.28 × 1,668
  4. Step 4: Simplify right side
    1,767.36x = 4,392,311.04
  5. Step 5: Solve for x
    x = 4,392,311.04/1,767.36
  6. Step 6: Final answer
    x = 2,485.24

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Why These Related Problems?

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