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Finding the Fourth Proportional to 1,960.76, 2,706.08 and 1,076.65

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Solution

The fourth proportional to 1,960.76, 2,706.08 and 1,076.65 is: 1,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.76 : 2,706.08 = 1,076.65 : x
  2. Step 2: Convert to fraction form
    1,960.76/2,706.08 = 1,076.65/x
  3. Step 3: Cross multiply
    1,960.76x = 2,706.08 × 1,076.65
  4. Step 4: Simplify right side
    1,960.76x = 2,913,488.88
  5. Step 5: Solve for x
    x = 2,913,488.88/1,960.76
  6. Step 6: Final answer
    x = 1,485.90

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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.