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Finding the Fourth Proportional to 2,996.80, 4,493.40 and 1,538.80

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Solution

The fourth proportional to 2,996.80, 4,493.40 and 1,538.80 is: 2,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.80 : 4,493.40 = 1,538.80 : x
  2. Step 2: Convert to fraction form
    2,996.80/4,493.40 = 1,538.80/x
  3. Step 3: Cross multiply
    2,996.80x = 4,493.40 × 1,538.80
  4. Step 4: Simplify right side
    2,996.80x = 6,914,443.92
  5. Step 5: Solve for x
    x = 6,914,443.92/2,996.80
  6. Step 6: Final answer
    x = 2,307.28

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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.