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Finding the Fourth Proportional to 6,960.40, 10,441.64 and 2,029.40

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Solution

The fourth proportional to 6,960.40, 10,441.64 and 2,029.40 is: 3,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.40 : 10,441.64 = 2,029.40 : x
  2. Step 2: Convert to fraction form
    6,960.40/10,441.64 = 2,029.40/x
  3. Step 3: Cross multiply
    6,960.40x = 10,441.64 × 2,029.40
  4. Step 4: Simplify right side
    6,960.40x = 21,190,264.22
  5. Step 5: Solve for x
    x = 21,190,264.22/6,960.40
  6. Step 6: Final answer
    x = 3,044.40

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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.