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Finding the Fourth Proportional to 1,969.44, 2,967.84 and 1,630.32

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Solution

The fourth proportional to 1,969.44, 2,967.84 and 1,630.32 is: 2,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.44 : 2,967.84 = 1,630.32 : x
  2. Step 2: Convert to fraction form
    1,969.44/2,967.84 = 1,630.32/x
  3. Step 3: Cross multiply
    1,969.44x = 2,967.84 × 1,630.32
  4. Step 4: Simplify right side
    1,969.44x = 4,838,528.91
  5. Step 5: Solve for x
    x = 4,838,528.91/1,969.44
  6. Step 6: Final answer
    x = 2,456.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.