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Finding the Fourth Proportional to 2,617.64, 3,611.83 and 1,672.70

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Solution

The fourth proportional to 2,617.64, 3,611.83 and 1,672.70 is: 2,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.64 : 3,611.83 = 1,672.70 : x
  2. Step 2: Convert to fraction form
    2,617.64/3,611.83 = 1,672.70/x
  3. Step 3: Cross multiply
    2,617.64x = 3,611.83 × 1,672.70
  4. Step 4: Simplify right side
    2,617.64x = 6,041,512.89
  5. Step 5: Solve for x
    x = 6,041,512.89/2,617.64
  6. Step 6: Final answer
    x = 2,308.00

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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.