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Finding the Fourth Proportional to 1,517.97, 2,094.69 and 888.42

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Solution

The fourth proportional to 1,517.97, 2,094.69 and 888.42 is: 1,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.97 : 2,094.69 = 888.42 : x
  2. Step 2: Convert to fraction form
    1,517.97/2,094.69 = 888.42/x
  3. Step 3: Cross multiply
    1,517.97x = 2,094.69 × 888.42
  4. Step 4: Simplify right side
    1,517.97x = 1,860,956.40
  5. Step 5: Solve for x
    x = 1,860,956.40/1,517.97
  6. Step 6: Final answer
    x = 1,225.95

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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.