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Finding the Fourth Proportional to 1,969.44, 2,955.24 and 1,664.88

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Solution

The fourth proportional to 1,969.44, 2,955.24 and 1,664.88 is: 2,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.44 : 2,955.24 = 1,664.88 : x
  2. Step 2: Convert to fraction form
    1,969.44/2,955.24 = 1,664.88/x
  3. Step 3: Cross multiply
    1,969.44x = 2,955.24 × 1,664.88
  4. Step 4: Simplify right side
    1,969.44x = 4,920,119.97
  5. Step 5: Solve for x
    x = 4,920,119.97/1,969.44
  6. Step 6: Final answer
    x = 2,498.23

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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.