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Finding the Fourth Proportional to 1,618.70, 2,424.11 and 923.27

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Solution

The fourth proportional to 1,618.70, 2,424.11 and 923.27 is: 1,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.70 : 2,424.11 = 923.27 : x
  2. Step 2: Convert to fraction form
    1,618.70/2,424.11 = 923.27/x
  3. Step 3: Cross multiply
    1,618.70x = 2,424.11 × 923.27
  4. Step 4: Simplify right side
    1,618.70x = 2,238,108.04
  5. Step 5: Solve for x
    x = 2,238,108.04/1,618.70
  6. Step 6: Final answer
    x = 1,382.66

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Why These Related Problems?

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