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Finding the Fourth Proportional to 3,376.94, 4,659.98 and 2,257.70

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Solution

The fourth proportional to 3,376.94, 4,659.98 and 2,257.70 is: 3,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.94 : 4,659.98 = 2,257.70 : x
  2. Step 2: Convert to fraction form
    3,376.94/4,659.98 = 2,257.70/x
  3. Step 3: Cross multiply
    3,376.94x = 4,659.98 × 2,257.70
  4. Step 4: Simplify right side
    3,376.94x = 10,520,828.06
  5. Step 5: Solve for x
    x = 10,520,828.06/3,376.94
  6. Step 6: Final answer
    x = 3,115.49

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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.