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Finding the Fourth Proportional to 1,967.30, 2,965.10 and 1,696.66

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Solution

The fourth proportional to 1,967.30, 2,965.10 and 1,696.66 is: 2,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.30 : 2,965.10 = 1,696.66 : x
  2. Step 2: Convert to fraction form
    1,967.30/2,965.10 = 1,696.66/x
  3. Step 3: Cross multiply
    1,967.30x = 2,965.10 × 1,696.66
  4. Step 4: Simplify right side
    1,967.30x = 5,030,766.57
  5. Step 5: Solve for x
    x = 5,030,766.57/1,967.30
  6. Step 6: Final answer
    x = 2,557.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.