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Finding the Fourth Proportional to 1,325.80, 1,989.78 and 1,219.96

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Solution

The fourth proportional to 1,325.80, 1,989.78 and 1,219.96 is: 1,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.80 : 1,989.78 = 1,219.96 : x
  2. Step 2: Convert to fraction form
    1,325.80/1,989.78 = 1,219.96/x
  3. Step 3: Cross multiply
    1,325.80x = 1,989.78 × 1,219.96
  4. Step 4: Simplify right side
    1,325.80x = 2,427,452.01
  5. Step 5: Solve for x
    x = 2,427,452.01/1,325.80
  6. Step 6: Final answer
    x = 1,830.93

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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.