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Finding the Fourth Proportional to 2,611.66, 3,602.73 and 2,114.86

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Solution

The fourth proportional to 2,611.66, 3,602.73 and 2,114.86 is: 2,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.66 : 3,602.73 = 2,114.86 : x
  2. Step 2: Convert to fraction form
    2,611.66/3,602.73 = 2,114.86/x
  3. Step 3: Cross multiply
    2,611.66x = 3,602.73 × 2,114.86
  4. Step 4: Simplify right side
    2,611.66x = 7,619,269.57
  5. Step 5: Solve for x
    x = 7,619,269.57/2,611.66
  6. Step 6: Final answer
    x = 2,917.40

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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.