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Finding the Fourth Proportional to 3,464.29, 4,780.71 and 1,892.41

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Solution

The fourth proportional to 3,464.29, 4,780.71 and 1,892.41 is: 2,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.29 : 4,780.71 = 1,892.41 : x
  2. Step 2: Convert to fraction form
    3,464.29/4,780.71 = 1,892.41/x
  3. Step 3: Cross multiply
    3,464.29x = 4,780.71 × 1,892.41
  4. Step 4: Simplify right side
    3,464.29x = 9,047,063.41
  5. Step 5: Solve for x
    x = 9,047,063.41/3,464.29
  6. Step 6: Final answer
    x = 2,611.52

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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.