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Finding the Fourth Proportional to 1,698.91, 2,544.26 and 966.27

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Solution

The fourth proportional to 1,698.91, 2,544.26 and 966.27 is: 1,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.91 : 2,544.26 = 966.27 : x
  2. Step 2: Convert to fraction form
    1,698.91/2,544.26 = 966.27/x
  3. Step 3: Cross multiply
    1,698.91x = 2,544.26 × 966.27
  4. Step 4: Simplify right side
    1,698.91x = 2,458,429.39
  5. Step 5: Solve for x
    x = 2,458,429.39/1,698.91
  6. Step 6: Final answer
    x = 1,447.06

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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.