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Finding the Fourth Proportional to 3,232.42, 4,460.19 and 1,905.64

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Solution

The fourth proportional to 3,232.42, 4,460.19 and 1,905.64 is: 2,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.42 : 4,460.19 = 1,905.64 : x
  2. Step 2: Convert to fraction form
    3,232.42/4,460.19 = 1,905.64/x
  3. Step 3: Cross multiply
    3,232.42x = 4,460.19 × 1,905.64
  4. Step 4: Simplify right side
    3,232.42x = 8,499,516.47
  5. Step 5: Solve for x
    x = 8,499,516.47/3,232.42
  6. Step 6: Final answer
    x = 2,629.46

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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.