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Finding the Fourth Proportional to 3,464.48, 4,780.84 and 1,892.58

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Solution

The fourth proportional to 3,464.48, 4,780.84 and 1,892.58 is: 2,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.48 : 4,780.84 = 1,892.58 : x
  2. Step 2: Convert to fraction form
    3,464.48/4,780.84 = 1,892.58/x
  3. Step 3: Cross multiply
    3,464.48x = 4,780.84 × 1,892.58
  4. Step 4: Simplify right side
    3,464.48x = 9,048,122.17
  5. Step 5: Solve for x
    x = 9,048,122.17/3,464.48
  6. Step 6: Final answer
    x = 2,611.68

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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.