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Finding the Fourth Proportional to 2,288.75, 3,157.70 and 1,392.80

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Solution

The fourth proportional to 2,288.75, 3,157.70 and 1,392.80 is: 1,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.75 : 3,157.70 = 1,392.80 : x
  2. Step 2: Convert to fraction form
    2,288.75/3,157.70 = 1,392.80/x
  3. Step 3: Cross multiply
    2,288.75x = 3,157.70 × 1,392.80
  4. Step 4: Simplify right side
    2,288.75x = 4,398,021.81
  5. Step 5: Solve for x
    x = 4,398,021.81/2,288.75
  6. Step 6: Final answer
    x = 1,921.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.