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Finding the Fourth Proportional to 1,517.60, 2,094.49 and 854.58

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Solution

The fourth proportional to 1,517.60, 2,094.49 and 854.58 is: 1,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.60 : 2,094.49 = 854.58 : x
  2. Step 2: Convert to fraction form
    1,517.60/2,094.49 = 854.58/x
  3. Step 3: Cross multiply
    1,517.60x = 2,094.49 × 854.58
  4. Step 4: Simplify right side
    1,517.60x = 1,789,904.99
  5. Step 5: Solve for x
    x = 1,789,904.99/1,517.60
  6. Step 6: Final answer
    x = 1,179.43

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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.