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Finding the Fourth Proportional to 2,611.14, 3,602.91 and 1,726.47

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Solution

The fourth proportional to 2,611.14, 3,602.91 and 1,726.47 is: 2,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.14 : 3,602.91 = 1,726.47 : x
  2. Step 2: Convert to fraction form
    2,611.14/3,602.91 = 1,726.47/x
  3. Step 3: Cross multiply
    2,611.14x = 3,602.91 × 1,726.47
  4. Step 4: Simplify right side
    2,611.14x = 6,220,316.03
  5. Step 5: Solve for x
    x = 6,220,316.03/2,611.14
  6. Step 6: Final answer
    x = 2,382.22

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1.5x scale

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.