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Finding the Fourth Proportional to 3,073.44, 4,242.12 and 1,954.92

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Solution

The fourth proportional to 3,073.44, 4,242.12 and 1,954.92 is: 2,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.44 : 4,242.12 = 1,954.92 : x
  2. Step 2: Convert to fraction form
    3,073.44/4,242.12 = 1,954.92/x
  3. Step 3: Cross multiply
    3,073.44x = 4,242.12 × 1,954.92
  4. Step 4: Simplify right side
    3,073.44x = 8,293,005.23
  5. Step 5: Solve for x
    x = 8,293,005.23/3,073.44
  6. Step 6: Final answer
    x = 2,698.28

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1.5x scale

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.