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Finding the Fourth Proportional to 1,726.75, 2,588.75 and 995.47

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Solution

The fourth proportional to 1,726.75, 2,588.75 and 995.47 is: 1,492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.75 : 2,588.75 = 995.47 : x
  2. Step 2: Convert to fraction form
    1,726.75/2,588.75 = 995.47/x
  3. Step 3: Cross multiply
    1,726.75x = 2,588.75 × 995.47
  4. Step 4: Simplify right side
    1,726.75x = 2,577,022.96
  5. Step 5: Solve for x
    x = 2,577,022.96/1,726.75
  6. Step 6: Final answer
    x = 1,492.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.