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Finding the Fourth Proportional to 2,383.27, 3,575.92 and 1,288.40

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Solution

The fourth proportional to 2,383.27, 3,575.92 and 1,288.40 is: 1,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.27 : 3,575.92 = 1,288.40 : x
  2. Step 2: Convert to fraction form
    2,383.27/3,575.92 = 1,288.40/x
  3. Step 3: Cross multiply
    2,383.27x = 3,575.92 × 1,288.40
  4. Step 4: Simplify right side
    2,383.27x = 4,607,215.33
  5. Step 5: Solve for x
    x = 4,607,215.33/2,383.27
  6. Step 6: Final answer
    x = 1,933.15

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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.