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Finding the Fourth Proportional to 2,726.64, 3,763.89 and 1,843.64

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Solution

The fourth proportional to 2,726.64, 3,763.89 and 1,843.64 is: 2,544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.64 : 3,763.89 = 1,843.64 : x
  2. Step 2: Convert to fraction form
    2,726.64/3,763.89 = 1,843.64/x
  3. Step 3: Cross multiply
    2,726.64x = 3,763.89 × 1,843.64
  4. Step 4: Simplify right side
    2,726.64x = 6,939,258.16
  5. Step 5: Solve for x
    x = 6,939,258.16/2,726.64
  6. Step 6: Final answer
    x = 2,544.99

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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.