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Finding the Fourth Proportional to 3,168.60, 4,744.80 and 2,342.40

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Solution

The fourth proportional to 3,168.60, 4,744.80 and 2,342.40 is: 3,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.60 : 4,744.80 = 2,342.40 : x
  2. Step 2: Convert to fraction form
    3,168.60/4,744.80 = 2,342.40/x
  3. Step 3: Cross multiply
    3,168.60x = 4,744.80 × 2,342.40
  4. Step 4: Simplify right side
    3,168.60x = 11,114,219.52
  5. Step 5: Solve for x
    x = 11,114,219.52/3,168.60
  6. Step 6: Final answer
    x = 3,507.61

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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.