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Finding the Fourth Proportional to 2,361.60, 3,533.76 and 1,336.32

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Solution

The fourth proportional to 2,361.60, 3,533.76 and 1,336.32 is: 1,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.60 : 3,533.76 = 1,336.32 : x
  2. Step 2: Convert to fraction form
    2,361.60/3,533.76 = 1,336.32/x
  3. Step 3: Cross multiply
    2,361.60x = 3,533.76 × 1,336.32
  4. Step 4: Simplify right side
    2,361.60x = 4,722,234.16
  5. Step 5: Solve for x
    x = 4,722,234.16/2,361.60
  6. Step 6: Final answer
    x = 1,999.59

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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.