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Finding the Fourth Proportional to 3,464.36, 4,780.80 and 1,892.46

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Solution

The fourth proportional to 3,464.36, 4,780.80 and 1,892.46 is: 2,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.36 : 4,780.80 = 1,892.46 : x
  2. Step 2: Convert to fraction form
    3,464.36/4,780.80 = 1,892.46/x
  3. Step 3: Cross multiply
    3,464.36x = 4,780.80 × 1,892.46
  4. Step 4: Simplify right side
    3,464.36x = 9,047,472.77
  5. Step 5: Solve for x
    x = 9,047,472.77/3,464.36
  6. Step 6: Final answer
    x = 2,611.59

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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.