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Finding the Fourth Proportional to 1,226.66, 1,837.80 and 1,022.54

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Solution

The fourth proportional to 1,226.66, 1,837.80 and 1,022.54 is: 1,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.66 : 1,837.80 = 1,022.54 : x
  2. Step 2: Convert to fraction form
    1,226.66/1,837.80 = 1,022.54/x
  3. Step 3: Cross multiply
    1,226.66x = 1,837.80 × 1,022.54
  4. Step 4: Simplify right side
    1,226.66x = 1,879,214.82
  5. Step 5: Solve for x
    x = 1,879,214.82/1,226.66
  6. Step 6: Final answer
    x = 1,531.98

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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.