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Finding the Fourth Proportional to 1,516.86, 2,093.46 and 927.28

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Solution

The fourth proportional to 1,516.86, 2,093.46 and 927.28 is: 1,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.86 : 2,093.46 = 927.28 : x
  2. Step 2: Convert to fraction form
    1,516.86/2,093.46 = 927.28/x
  3. Step 3: Cross multiply
    1,516.86x = 2,093.46 × 927.28
  4. Step 4: Simplify right side
    1,516.86x = 1,941,223.59
  5. Step 5: Solve for x
    x = 1,941,223.59/1,516.86
  6. Step 6: Final answer
    x = 1,279.76

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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.