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Finding the Fourth Proportional to 1,517.13, 2,093.62 and 853.97

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Solution

The fourth proportional to 1,517.13, 2,093.62 and 853.97 is: 1,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.13 : 2,093.62 = 853.97 : x
  2. Step 2: Convert to fraction form
    1,517.13/2,093.62 = 853.97/x
  3. Step 3: Cross multiply
    1,517.13x = 2,093.62 × 853.97
  4. Step 4: Simplify right side
    1,517.13x = 1,787,888.67
  5. Step 5: Solve for x
    x = 1,787,888.67/1,517.13
  6. Step 6: Final answer
    x = 1,178.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.