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Finding the Fourth Proportional to 2,611.61, 3,603.57 and 1,727.09

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Solution

The fourth proportional to 2,611.61, 3,603.57 and 1,727.09 is: 2,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.61 : 3,603.57 = 1,727.09 : x
  2. Step 2: Convert to fraction form
    2,611.61/3,603.57 = 1,727.09/x
  3. Step 3: Cross multiply
    2,611.61x = 3,603.57 × 1,727.09
  4. Step 4: Simplify right side
    2,611.61x = 6,223,671.69
  5. Step 5: Solve for x
    x = 6,223,671.69/2,611.61
  6. Step 6: Final answer
    x = 2,383.08

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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.