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Finding the Fourth Proportional to 2,835.46, 3,917.46 and 2,420.20

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Solution

The fourth proportional to 2,835.46, 3,917.46 and 2,420.20 is: 3,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.46 : 3,917.46 = 2,420.20 : x
  2. Step 2: Convert to fraction form
    2,835.46/3,917.46 = 2,420.20/x
  3. Step 3: Cross multiply
    2,835.46x = 3,917.46 × 2,420.20
  4. Step 4: Simplify right side
    2,835.46x = 9,481,036.69
  5. Step 5: Solve for x
    x = 9,481,036.69/2,835.46
  6. Step 6: Final answer
    x = 3,343.74

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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.