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Finding the Fourth Proportional to 2,388.48, 3,581.76 and 849.60

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Solution

The fourth proportional to 2,388.48, 3,581.76 and 849.60 is: 1,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.48 : 3,581.76 = 849.60 : x
  2. Step 2: Convert to fraction form
    2,388.48/3,581.76 = 849.60/x
  3. Step 3: Cross multiply
    2,388.48x = 3,581.76 × 849.60
  4. Step 4: Simplify right side
    2,388.48x = 3,043,063.30
  5. Step 5: Solve for x
    x = 3,043,063.30/2,388.48
  6. Step 6: Final answer
    x = 1,274.06

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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.