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Finding the Fourth Proportional to 1,965.32, 2,712.12 and 1,375.64

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Solution

The fourth proportional to 1,965.32, 2,712.12 and 1,375.64 is: 1,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.32 : 2,712.12 = 1,375.64 : x
  2. Step 2: Convert to fraction form
    1,965.32/2,712.12 = 1,375.64/x
  3. Step 3: Cross multiply
    1,965.32x = 2,712.12 × 1,375.64
  4. Step 4: Simplify right side
    1,965.32x = 3,730,900.76
  5. Step 5: Solve for x
    x = 3,730,900.76/1,965.32
  6. Step 6: Final answer
    x = 1,898.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.