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Finding the Fourth Proportional to 2,644, 3,962.25 and 1,810.30

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Solution

The fourth proportional to 2,644, 3,962.25 and 1,810.30 is: 2,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644 : 3,962.25 = 1,810.30 : x
  2. Step 2: Convert to fraction form
    2,644/3,962.25 = 1,810.30/x
  3. Step 3: Cross multiply
    2,644x = 3,962.25 × 1,810.30
  4. Step 4: Simplify right side
    2,644x = 7,172,861.18
  5. Step 5: Solve for x
    x = 7,172,861.18/2,644
  6. Step 6: Final answer
    x = 2,712.88

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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.