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Finding the Fourth Proportional to 2,024.84, 2,793.48 and 1,238.60

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Solution

The fourth proportional to 2,024.84, 2,793.48 and 1,238.60 is: 1,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.84 : 2,793.48 = 1,238.60 : x
  2. Step 2: Convert to fraction form
    2,024.84/2,793.48 = 1,238.60/x
  3. Step 3: Cross multiply
    2,024.84x = 2,793.48 × 1,238.60
  4. Step 4: Simplify right side
    2,024.84x = 3,460,004.33
  5. Step 5: Solve for x
    x = 3,460,004.33/2,024.84
  6. Step 6: Final answer
    x = 1,708.78

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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.