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Finding the Fourth Proportional to 1,516.94, 2,093.37 and 853.79

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Solution

The fourth proportional to 1,516.94, 2,093.37 and 853.79 is: 1,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.94 : 2,093.37 = 853.79 : x
  2. Step 2: Convert to fraction form
    1,516.94/2,093.37 = 853.79/x
  3. Step 3: Cross multiply
    1,516.94x = 2,093.37 × 853.79
  4. Step 4: Simplify right side
    1,516.94x = 1,787,303.61
  5. Step 5: Solve for x
    x = 1,787,303.61/1,516.94
  6. Step 6: Final answer
    x = 1,178.23

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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.