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Finding the Fourth Proportional to 1,237.44, 1,864.92 and 1,164.48

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Solution

The fourth proportional to 1,237.44, 1,864.92 and 1,164.48 is: 1,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.44 : 1,864.92 = 1,164.48 : x
  2. Step 2: Convert to fraction form
    1,237.44/1,864.92 = 1,164.48/x
  3. Step 3: Cross multiply
    1,237.44x = 1,864.92 × 1,164.48
  4. Step 4: Simplify right side
    1,237.44x = 2,171,662.04
  5. Step 5: Solve for x
    x = 2,171,662.04/1,237.44
  6. Step 6: Final answer
    x = 1,754.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.