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Finding the Fourth Proportional to 2,231.60, 3,348.12 and 1,076.48

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Solution

The fourth proportional to 2,231.60, 3,348.12 and 1,076.48 is: 1,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.60 : 3,348.12 = 1,076.48 : x
  2. Step 2: Convert to fraction form
    2,231.60/3,348.12 = 1,076.48/x
  3. Step 3: Cross multiply
    2,231.60x = 3,348.12 × 1,076.48
  4. Step 4: Simplify right side
    2,231.60x = 3,604,184.22
  5. Step 5: Solve for x
    x = 3,604,184.22/2,231.60
  6. Step 6: Final answer
    x = 1,615.07

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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.