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Finding the Fourth Proportional to 2,443.88, 3,662.04 and 1,865

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Solution

The fourth proportional to 2,443.88, 3,662.04 and 1,865 is: 2,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.88 : 3,662.04 = 1,865 : x
  2. Step 2: Convert to fraction form
    2,443.88/3,662.04 = 1,865/x
  3. Step 3: Cross multiply
    2,443.88x = 3,662.04 × 1,865
  4. Step 4: Simplify right side
    2,443.88x = 6,829,704.60
  5. Step 5: Solve for x
    x = 6,829,704.60/2,443.88
  6. Step 6: Final answer
    x = 2,794.62

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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.