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Finding the Fourth Proportional to 1,517.93, 2,094.63 and 854.65

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Solution

The fourth proportional to 1,517.93, 2,094.63 and 854.65 is: 1,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.93 : 2,094.63 = 854.65 : x
  2. Step 2: Convert to fraction form
    1,517.93/2,094.63 = 854.65/x
  3. Step 3: Cross multiply
    1,517.93x = 2,094.63 × 854.65
  4. Step 4: Simplify right side
    1,517.93x = 1,790,175.53
  5. Step 5: Solve for x
    x = 1,790,175.53/1,517.93
  6. Step 6: Final answer
    x = 1,179.35

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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.