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Finding the Fourth Proportional to 1,483.89, 2,226.11 and 1,177.71

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Solution

The fourth proportional to 1,483.89, 2,226.11 and 1,177.71 is: 1,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.89 : 2,226.11 = 1,177.71 : x
  2. Step 2: Convert to fraction form
    1,483.89/2,226.11 = 1,177.71/x
  3. Step 3: Cross multiply
    1,483.89x = 2,226.11 × 1,177.71
  4. Step 4: Simplify right side
    1,483.89x = 2,621,706.12
  5. Step 5: Solve for x
    x = 2,621,706.12/1,483.89
  6. Step 6: Final answer
    x = 1,766.78

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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.