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Finding the Fourth Proportional to 4,382.58, 6,573.69 and 1,460.64

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Solution

The fourth proportional to 4,382.58, 6,573.69 and 1,460.64 is: 2,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.58 : 6,573.69 = 1,460.64 : x
  2. Step 2: Convert to fraction form
    4,382.58/6,573.69 = 1,460.64/x
  3. Step 3: Cross multiply
    4,382.58x = 6,573.69 × 1,460.64
  4. Step 4: Simplify right side
    4,382.58x = 9,601,794.56
  5. Step 5: Solve for x
    x = 9,601,794.56/4,382.58
  6. Step 6: Final answer
    x = 2,190.90

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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.