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Finding the Fourth Proportional to 1,960.32, 2,706.12 and 1,215.32

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Solution

The fourth proportional to 1,960.32, 2,706.12 and 1,215.32 is: 1,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.32 : 2,706.12 = 1,215.32 : x
  2. Step 2: Convert to fraction form
    1,960.32/2,706.12 = 1,215.32/x
  3. Step 3: Cross multiply
    1,960.32x = 2,706.12 × 1,215.32
  4. Step 4: Simplify right side
    1,960.32x = 3,288,801.76
  5. Step 5: Solve for x
    x = 3,288,801.76/1,960.32
  6. Step 6: Final answer
    x = 1,677.69

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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.