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Finding the Fourth Proportional to 2,611.72, 3,602.09 and 2,296.32

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Solution

The fourth proportional to 2,611.72, 3,602.09 and 2,296.32 is: 3,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.72 : 3,602.09 = 2,296.32 : x
  2. Step 2: Convert to fraction form
    2,611.72/3,602.09 = 2,296.32/x
  3. Step 3: Cross multiply
    2,611.72x = 3,602.09 × 2,296.32
  4. Step 4: Simplify right side
    2,611.72x = 8,271,551.31
  5. Step 5: Solve for x
    x = 8,271,551.31/2,611.72
  6. Step 6: Final answer
    x = 3,167.09

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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.