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Finding the Fourth Proportional to 1,642.37, 2,458.90 and 1,311.62

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Solution

The fourth proportional to 1,642.37, 2,458.90 and 1,311.62 is: 1,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.37 : 2,458.90 = 1,311.62 : x
  2. Step 2: Convert to fraction form
    1,642.37/2,458.90 = 1,311.62/x
  3. Step 3: Cross multiply
    1,642.37x = 2,458.90 × 1,311.62
  4. Step 4: Simplify right side
    1,642.37x = 3,225,135.86
  5. Step 5: Solve for x
    x = 3,225,135.86/1,642.37
  6. Step 6: Final answer
    x = 1,963.71

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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.