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Finding the Fourth Proportional to 2,611.48, 3,602.36 and 1,616.06

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Solution

The fourth proportional to 2,611.48, 3,602.36 and 1,616.06 is: 2,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.48 : 3,602.36 = 1,616.06 : x
  2. Step 2: Convert to fraction form
    2,611.48/3,602.36 = 1,616.06/x
  3. Step 3: Cross multiply
    2,611.48x = 3,602.36 × 1,616.06
  4. Step 4: Simplify right side
    2,611.48x = 5,821,629.90
  5. Step 5: Solve for x
    x = 5,821,629.90/2,611.48
  6. Step 6: Final answer
    x = 2,229.25

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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.