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Finding the Fourth Proportional to 1,517.78, 2,094.56 and 854.63

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Solution

The fourth proportional to 1,517.78, 2,094.56 and 854.63 is: 1,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.78 : 2,094.56 = 854.63 : x
  2. Step 2: Convert to fraction form
    1,517.78/2,094.56 = 854.63/x
  3. Step 3: Cross multiply
    1,517.78x = 2,094.56 × 854.63
  4. Step 4: Simplify right side
    1,517.78x = 1,790,070.13
  5. Step 5: Solve for x
    x = 1,790,070.13/1,517.78
  6. Step 6: Final answer
    x = 1,179.40

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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.