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Finding the Fourth Proportional to 2,726.53, 4,090.34 and 995.29

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Solution

The fourth proportional to 2,726.53, 4,090.34 and 995.29 is: 1,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.53 : 4,090.34 = 995.29 : x
  2. Step 2: Convert to fraction form
    2,726.53/4,090.34 = 995.29/x
  3. Step 3: Cross multiply
    2,726.53x = 4,090.34 × 995.29
  4. Step 4: Simplify right side
    2,726.53x = 4,071,074.50
  5. Step 5: Solve for x
    x = 4,071,074.50/2,726.53
  6. Step 6: Final answer
    x = 1,493.13

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Why These Related Problems?

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