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Finding the Fourth Proportional to 1,393.29, 1,924.43 and 1,102.41

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Solution

The fourth proportional to 1,393.29, 1,924.43 and 1,102.41 is: 1,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.29 : 1,924.43 = 1,102.41 : x
  2. Step 2: Convert to fraction form
    1,393.29/1,924.43 = 1,102.41/x
  3. Step 3: Cross multiply
    1,393.29x = 1,924.43 × 1,102.41
  4. Step 4: Simplify right side
    1,393.29x = 2,121,505.36
  5. Step 5: Solve for x
    x = 2,121,505.36/1,393.29
  6. Step 6: Final answer
    x = 1,522.66

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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.