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Finding the Fourth Proportional to 2,611.13, 3,602.91 and 1,726.46

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Solution

The fourth proportional to 2,611.13, 3,602.91 and 1,726.46 is: 2,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.13 : 3,602.91 = 1,726.46 : x
  2. Step 2: Convert to fraction form
    2,611.13/3,602.91 = 1,726.46/x
  3. Step 3: Cross multiply
    2,611.13x = 3,602.91 × 1,726.46
  4. Step 4: Simplify right side
    2,611.13x = 6,220,261.98
  5. Step 5: Solve for x
    x = 6,220,261.98/2,611.13
  6. Step 6: Final answer
    x = 2,382.22

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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.