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Finding the Fourth Proportional to 1,484.46, 2,226.08 and 559.54

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Solution

The fourth proportional to 1,484.46, 2,226.08 and 559.54 is: 839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.46 : 2,226.08 = 559.54 : x
  2. Step 2: Convert to fraction form
    1,484.46/2,226.08 = 559.54/x
  3. Step 3: Cross multiply
    1,484.46x = 2,226.08 × 559.54
  4. Step 4: Simplify right side
    1,484.46x = 1,245,584.98
  5. Step 5: Solve for x
    x = 1,245,584.98/1,484.46
  6. Step 6: Final answer
    x = 839.08

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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.