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Finding the Fourth Proportional to 2,611.97, 3,604.58 and 1,666.92

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Solution

The fourth proportional to 2,611.97, 3,604.58 and 1,666.92 is: 2,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.97 : 3,604.58 = 1,666.92 : x
  2. Step 2: Convert to fraction form
    2,611.97/3,604.58 = 1,666.92/x
  3. Step 3: Cross multiply
    2,611.97x = 3,604.58 × 1,666.92
  4. Step 4: Simplify right side
    2,611.97x = 6,008,538.16
  5. Step 5: Solve for x
    x = 6,008,538.16/2,611.97
  6. Step 6: Final answer
    x = 2,300.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.