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Finding the Fourth Proportional to 1,338.80, 2,002.96 and 1,182.98

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Solution

The fourth proportional to 1,338.80, 2,002.96 and 1,182.98 is: 1,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.80 : 2,002.96 = 1,182.98 : x
  2. Step 2: Convert to fraction form
    1,338.80/2,002.96 = 1,182.98/x
  3. Step 3: Cross multiply
    1,338.80x = 2,002.96 × 1,182.98
  4. Step 4: Simplify right side
    1,338.80x = 2,369,461.62
  5. Step 5: Solve for x
    x = 2,369,461.62/1,338.80
  6. Step 6: Final answer
    x = 1,769.84

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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.