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Finding the Fourth Proportional to 2,164.53, 3,246.84 and 848.23

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Solution

The fourth proportional to 2,164.53, 3,246.84 and 848.23 is: 1,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.53 : 3,246.84 = 848.23 : x
  2. Step 2: Convert to fraction form
    2,164.53/3,246.84 = 848.23/x
  3. Step 3: Cross multiply
    2,164.53x = 3,246.84 × 848.23
  4. Step 4: Simplify right side
    2,164.53x = 2,754,067.09
  5. Step 5: Solve for x
    x = 2,754,067.09/2,164.53
  6. Step 6: Final answer
    x = 1,272.36

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1.5x scale

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.