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Finding the Fourth Proportional to 1,726.03, 2,381.90 and 940.07

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Solution

The fourth proportional to 1,726.03, 2,381.90 and 940.07 is: 1,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.03 : 2,381.90 = 940.07 : x
  2. Step 2: Convert to fraction form
    1,726.03/2,381.90 = 940.07/x
  3. Step 3: Cross multiply
    1,726.03x = 2,381.90 × 940.07
  4. Step 4: Simplify right side
    1,726.03x = 2,239,152.73
  5. Step 5: Solve for x
    x = 2,239,152.73/1,726.03
  6. Step 6: Final answer
    x = 1,297.28

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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.