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Finding the Fourth Proportional to 1,226.64, 1,837.99 and 1,102.30

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Solution

The fourth proportional to 1,226.64, 1,837.99 and 1,102.30 is: 1,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.64 : 1,837.99 = 1,102.30 : x
  2. Step 2: Convert to fraction form
    1,226.64/1,837.99 = 1,102.30/x
  3. Step 3: Cross multiply
    1,226.64x = 1,837.99 × 1,102.30
  4. Step 4: Simplify right side
    1,226.64x = 2,026,016.38
  5. Step 5: Solve for x
    x = 2,026,016.38/1,226.64
  6. Step 6: Final answer
    x = 1,651.68

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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.