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Finding the Fourth Proportional to 2,618.12, 3,926.82 and 1,523

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Solution

The fourth proportional to 2,618.12, 3,926.82 and 1,523 is: 2,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.12 : 3,926.82 = 1,523 : x
  2. Step 2: Convert to fraction form
    2,618.12/3,926.82 = 1,523/x
  3. Step 3: Cross multiply
    2,618.12x = 3,926.82 × 1,523
  4. Step 4: Simplify right side
    2,618.12x = 5,980,546.86
  5. Step 5: Solve for x
    x = 5,980,546.86/2,618.12
  6. Step 6: Final answer
    x = 2,284.29

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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.