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Finding the Fourth Proportional to 1,697.77, 2,544.22 and 965.80

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Solution

The fourth proportional to 1,697.77, 2,544.22 and 965.80 is: 1,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.77 : 2,544.22 = 965.80 : x
  2. Step 2: Convert to fraction form
    1,697.77/2,544.22 = 965.80/x
  3. Step 3: Cross multiply
    1,697.77x = 2,544.22 × 965.80
  4. Step 4: Simplify right side
    1,697.77x = 2,457,207.68
  5. Step 5: Solve for x
    x = 2,457,207.68/1,697.77
  6. Step 6: Final answer
    x = 1,447.31

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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.