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Finding the Fourth Proportional to 1,911.69, 2,864.21 and 923.15

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Solution

The fourth proportional to 1,911.69, 2,864.21 and 923.15 is: 1,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.69 : 2,864.21 = 923.15 : x
  2. Step 2: Convert to fraction form
    1,911.69/2,864.21 = 923.15/x
  3. Step 3: Cross multiply
    1,911.69x = 2,864.21 × 923.15
  4. Step 4: Simplify right side
    1,911.69x = 2,644,098.01
  5. Step 5: Solve for x
    x = 2,644,098.01/1,911.69
  6. Step 6: Final answer
    x = 1,383.12

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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.