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Finding the Fourth Proportional to 4,097.60, 6,142.80 and 1,463.84

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Solution

The fourth proportional to 4,097.60, 6,142.80 and 1,463.84 is: 2,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.60 : 6,142.80 = 1,463.84 : x
  2. Step 2: Convert to fraction form
    4,097.60/6,142.80 = 1,463.84/x
  3. Step 3: Cross multiply
    4,097.60x = 6,142.80 × 1,463.84
  4. Step 4: Simplify right side
    4,097.60x = 8,992,076.35
  5. Step 5: Solve for x
    x = 8,992,076.35/4,097.60
  6. Step 6: Final answer
    x = 2,194.47

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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.