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Finding the Fourth Proportional to 1,960.64, 2,941.97 and 1,302.97

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Solution

The fourth proportional to 1,960.64, 2,941.97 and 1,302.97 is: 1,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.64 : 2,941.97 = 1,302.97 : x
  2. Step 2: Convert to fraction form
    1,960.64/2,941.97 = 1,302.97/x
  3. Step 3: Cross multiply
    1,960.64x = 2,941.97 × 1,302.97
  4. Step 4: Simplify right side
    1,960.64x = 3,833,287.30
  5. Step 5: Solve for x
    x = 3,833,287.30/1,960.64
  6. Step 6: Final answer
    x = 1,955.12

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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.