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Finding the Fourth Proportional to 1,237.91, 1,857.31 and 1,007.37

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Solution

The fourth proportional to 1,237.91, 1,857.31 and 1,007.37 is: 1,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.91 : 1,857.31 = 1,007.37 : x
  2. Step 2: Convert to fraction form
    1,237.91/1,857.31 = 1,007.37/x
  3. Step 3: Cross multiply
    1,237.91x = 1,857.31 × 1,007.37
  4. Step 4: Simplify right side
    1,237.91x = 1,870,995.86
  5. Step 5: Solve for x
    x = 1,870,995.86/1,237.91
  6. Step 6: Final answer
    x = 1,511.42

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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.