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Finding the Fourth Proportional to 1,517.61, 2,094.47 and 854.67

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Solution

The fourth proportional to 1,517.61, 2,094.47 and 854.67 is: 1,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.61 : 2,094.47 = 854.67 : x
  2. Step 2: Convert to fraction form
    1,517.61/2,094.47 = 854.67/x
  3. Step 3: Cross multiply
    1,517.61x = 2,094.47 × 854.67
  4. Step 4: Simplify right side
    1,517.61x = 1,790,080.67
  5. Step 5: Solve for x
    x = 1,790,080.67/1,517.61
  6. Step 6: Final answer
    x = 1,179.54

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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.