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Finding the Fourth Proportional to 2,611.64, 3,912.34 and 1,513.70

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Solution

The fourth proportional to 2,611.64, 3,912.34 and 1,513.70 is: 2,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.64 : 3,912.34 = 1,513.70 : x
  2. Step 2: Convert to fraction form
    2,611.64/3,912.34 = 1,513.70/x
  3. Step 3: Cross multiply
    2,611.64x = 3,912.34 × 1,513.70
  4. Step 4: Simplify right side
    2,611.64x = 5,922,106.59
  5. Step 5: Solve for x
    x = 5,922,106.59/2,611.64
  6. Step 6: Final answer
    x = 2,267.58

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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.