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Finding the Fourth Proportional to 2,391.90, 3,584.60 and 1,238.46

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Solution

The fourth proportional to 2,391.90, 3,584.60 and 1,238.46 is: 1,856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.90 : 3,584.60 = 1,238.46 : x
  2. Step 2: Convert to fraction form
    2,391.90/3,584.60 = 1,238.46/x
  3. Step 3: Cross multiply
    2,391.90x = 3,584.60 × 1,238.46
  4. Step 4: Simplify right side
    2,391.90x = 4,439,383.72
  5. Step 5: Solve for x
    x = 4,439,383.72/2,391.90
  6. Step 6: Final answer
    x = 1,856.01

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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.