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Finding the Fourth Proportional to 2,359.62, 3,257.46 and 1,827.32

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Solution

The fourth proportional to 2,359.62, 3,257.46 and 1,827.32 is: 2,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.62 : 3,257.46 = 1,827.32 : x
  2. Step 2: Convert to fraction form
    2,359.62/3,257.46 = 1,827.32/x
  3. Step 3: Cross multiply
    2,359.62x = 3,257.46 × 1,827.32
  4. Step 4: Simplify right side
    2,359.62x = 5,952,405.52
  5. Step 5: Solve for x
    x = 5,952,405.52/2,359.62
  6. Step 6: Final answer
    x = 2,522.61

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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.