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Finding the Fourth Proportional to 3,396.53, 4,686.79 and 1,980.68

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Solution

The fourth proportional to 3,396.53, 4,686.79 and 1,980.68 is: 2,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.53 : 4,686.79 = 1,980.68 : x
  2. Step 2: Convert to fraction form
    3,396.53/4,686.79 = 1,980.68/x
  3. Step 3: Cross multiply
    3,396.53x = 4,686.79 × 1,980.68
  4. Step 4: Simplify right side
    3,396.53x = 9,283,014.16
  5. Step 5: Solve for x
    x = 9,283,014.16/3,396.53
  6. Step 6: Final answer
    x = 2,733.09

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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.