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Finding the Fourth Proportional to 2,726.55, 4,090.10 and 994.77

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Solution

The fourth proportional to 2,726.55, 4,090.10 and 994.77 is: 1,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.55 : 4,090.10 = 994.77 : x
  2. Step 2: Convert to fraction form
    2,726.55/4,090.10 = 994.77/x
  3. Step 3: Cross multiply
    2,726.55x = 4,090.10 × 994.77
  4. Step 4: Simplify right side
    2,726.55x = 4,068,703.80
  5. Step 5: Solve for x
    x = 4,068,703.80/2,726.55
  6. Step 6: Final answer
    x = 1,492.25

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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.