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Finding the Fourth Proportional to 2,441.70, 3,655.08 and 1,342.73

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Solution

The fourth proportional to 2,441.70, 3,655.08 and 1,342.73 is: 2,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.70 : 3,655.08 = 1,342.73 : x
  2. Step 2: Convert to fraction form
    2,441.70/3,655.08 = 1,342.73/x
  3. Step 3: Cross multiply
    2,441.70x = 3,655.08 × 1,342.73
  4. Step 4: Simplify right side
    2,441.70x = 4,907,794.71
  5. Step 5: Solve for x
    x = 4,907,794.71/2,441.70
  6. Step 6: Final answer
    x = 2,009.99

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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.