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Finding the Fourth Proportional to 1,992.60, 2,748.60 and 1,549.80

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Solution

The fourth proportional to 1,992.60, 2,748.60 and 1,549.80 is: 2,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.60 : 2,748.60 = 1,549.80 : x
  2. Step 2: Convert to fraction form
    1,992.60/2,748.60 = 1,549.80/x
  3. Step 3: Cross multiply
    1,992.60x = 2,748.60 × 1,549.80
  4. Step 4: Simplify right side
    1,992.60x = 4,259,780.28
  5. Step 5: Solve for x
    x = 4,259,780.28/1,992.60
  6. Step 6: Final answer
    x = 2,137.80

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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.