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Finding the Fourth Proportional to 2,423.12, 3,343.07 and 1,980.86

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Solution

The fourth proportional to 2,423.12, 3,343.07 and 1,980.86 is: 2,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.12 : 3,343.07 = 1,980.86 : x
  2. Step 2: Convert to fraction form
    2,423.12/3,343.07 = 1,980.86/x
  3. Step 3: Cross multiply
    2,423.12x = 3,343.07 × 1,980.86
  4. Step 4: Simplify right side
    2,423.12x = 6,622,141.88
  5. Step 5: Solve for x
    x = 6,622,141.88/2,423.12
  6. Step 6: Final answer
    x = 2,732.90

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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.