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Finding the Fourth Proportional to 2,635.64, 3,952.23 and 1,814.30

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Solution

The fourth proportional to 2,635.64, 3,952.23 and 1,814.30 is: 2,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.64 : 3,952.23 = 1,814.30 : x
  2. Step 2: Convert to fraction form
    2,635.64/3,952.23 = 1,814.30/x
  3. Step 3: Cross multiply
    2,635.64x = 3,952.23 × 1,814.30
  4. Step 4: Simplify right side
    2,635.64x = 7,170,511.13
  5. Step 5: Solve for x
    x = 7,170,511.13/2,635.64
  6. Step 6: Final answer
    x = 2,720.60

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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.