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Finding the Fourth Proportional to 2,611.60, 3,604.01 and 1,549.42

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Solution

The fourth proportional to 2,611.60, 3,604.01 and 1,549.42 is: 2,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.60 : 3,604.01 = 1,549.42 : x
  2. Step 2: Convert to fraction form
    2,611.60/3,604.01 = 1,549.42/x
  3. Step 3: Cross multiply
    2,611.60x = 3,604.01 × 1,549.42
  4. Step 4: Simplify right side
    2,611.60x = 5,584,108.42
  5. Step 5: Solve for x
    x = 5,584,108.42/2,611.60
  6. Step 6: Final answer
    x = 2,138.20

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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.