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Finding the Fourth Proportional to 2,310.94, 3,464.52 and 1,337.86

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Solution

The fourth proportional to 2,310.94, 3,464.52 and 1,337.86 is: 2,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.94 : 3,464.52 = 1,337.86 : x
  2. Step 2: Convert to fraction form
    2,310.94/3,464.52 = 1,337.86/x
  3. Step 3: Cross multiply
    2,310.94x = 3,464.52 × 1,337.86
  4. Step 4: Simplify right side
    2,310.94x = 4,635,042.73
  5. Step 5: Solve for x
    x = 4,635,042.73/2,310.94
  6. Step 6: Final answer
    x = 2,005.70

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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.