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Finding the Fourth Proportional to 2,679.58, 3,697.46 and 1,617.40

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Solution

The fourth proportional to 2,679.58, 3,697.46 and 1,617.40 is: 2,231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.58 : 3,697.46 = 1,617.40 : x
  2. Step 2: Convert to fraction form
    2,679.58/3,697.46 = 1,617.40/x
  3. Step 3: Cross multiply
    2,679.58x = 3,697.46 × 1,617.40
  4. Step 4: Simplify right side
    2,679.58x = 5,980,271.80
  5. Step 5: Solve for x
    x = 5,980,271.80/2,679.58
  6. Step 6: Final answer
    x = 2,231.79

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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.