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Finding the Fourth Proportional to 1,726.24, 2,382.24 and 940.32

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Solution

The fourth proportional to 1,726.24, 2,382.24 and 940.32 is: 1,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.24 : 2,382.24 = 940.32 : x
  2. Step 2: Convert to fraction form
    1,726.24/2,382.24 = 940.32/x
  3. Step 3: Cross multiply
    1,726.24x = 2,382.24 × 940.32
  4. Step 4: Simplify right side
    1,726.24x = 2,240,067.92
  5. Step 5: Solve for x
    x = 2,240,067.92/1,726.24
  6. Step 6: Final answer
    x = 1,297.66

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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.