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Finding the Fourth Proportional to 2,420.12, 3,630.44 and 880.76

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Solution

The fourth proportional to 2,420.12, 3,630.44 and 880.76 is: 1,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.12 : 3,630.44 = 880.76 : x
  2. Step 2: Convert to fraction form
    2,420.12/3,630.44 = 880.76/x
  3. Step 3: Cross multiply
    2,420.12x = 3,630.44 × 880.76
  4. Step 4: Simplify right side
    2,420.12x = 3,197,546.33
  5. Step 5: Solve for x
    x = 3,197,546.33/2,420.12
  6. Step 6: Final answer
    x = 1,321.23

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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.