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Finding the Fourth Proportional to 2,094.27, 3,138.71 and 923.51

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Solution

The fourth proportional to 2,094.27, 3,138.71 and 923.51 is: 1,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.27 : 3,138.71 = 923.51 : x
  2. Step 2: Convert to fraction form
    2,094.27/3,138.71 = 923.51/x
  3. Step 3: Cross multiply
    2,094.27x = 3,138.71 × 923.51
  4. Step 4: Simplify right side
    2,094.27x = 2,898,609.76
  5. Step 5: Solve for x
    x = 2,898,609.76/2,094.27
  6. Step 6: Final answer
    x = 1,384.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.