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Finding the Fourth Proportional to 1,726.05, 2,381.94 and 940.09

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Solution

The fourth proportional to 1,726.05, 2,381.94 and 940.09 is: 1,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.05 : 2,381.94 = 940.09 : x
  2. Step 2: Convert to fraction form
    1,726.05/2,381.94 = 940.09/x
  3. Step 3: Cross multiply
    1,726.05x = 2,381.94 × 940.09
  4. Step 4: Simplify right side
    1,726.05x = 2,239,237.97
  5. Step 5: Solve for x
    x = 2,239,237.97/1,726.05
  6. Step 6: Final answer
    x = 1,297.32

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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.