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Finding the Fourth Proportional to 3,396.40, 4,687.56 and 1,980.13

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Solution

The fourth proportional to 3,396.40, 4,687.56 and 1,980.13 is: 2,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.40 : 4,687.56 = 1,980.13 : x
  2. Step 2: Convert to fraction form
    3,396.40/4,687.56 = 1,980.13/x
  3. Step 3: Cross multiply
    3,396.40x = 4,687.56 × 1,980.13
  4. Step 4: Simplify right side
    3,396.40x = 9,281,978.18
  5. Step 5: Solve for x
    x = 9,281,978.18/3,396.40
  6. Step 6: Final answer
    x = 2,732.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.