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Finding the Fourth Proportional to 3,120.58, 4,304.66 and 2,000.24

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Solution

The fourth proportional to 3,120.58, 4,304.66 and 2,000.24 is: 2,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.58 : 4,304.66 = 2,000.24 : x
  2. Step 2: Convert to fraction form
    3,120.58/4,304.66 = 2,000.24/x
  3. Step 3: Cross multiply
    3,120.58x = 4,304.66 × 2,000.24
  4. Step 4: Simplify right side
    3,120.58x = 8,610,353.12
  5. Step 5: Solve for x
    x = 8,610,353.12/3,120.58
  6. Step 6: Final answer
    x = 2,759.22

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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.