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Finding the Fourth Proportional to 1,696.02, 2,544.03 and 965.22

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Solution

The fourth proportional to 1,696.02, 2,544.03 and 965.22 is: 1,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.02 : 2,544.03 = 965.22 : x
  2. Step 2: Convert to fraction form
    1,696.02/2,544.03 = 965.22/x
  3. Step 3: Cross multiply
    1,696.02x = 2,544.03 × 965.22
  4. Step 4: Simplify right side
    1,696.02x = 2,455,548.64
  5. Step 5: Solve for x
    x = 2,455,548.64/1,696.02
  6. Step 6: Final answer
    x = 1,447.83

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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.