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Finding the Fourth Proportional to 2,144.96, 2,937.80 and 2,018.84

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Solution

The fourth proportional to 2,144.96, 2,937.80 and 2,018.84 is: 2,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.96 : 2,937.80 = 2,018.84 : x
  2. Step 2: Convert to fraction form
    2,144.96/2,937.80 = 2,018.84/x
  3. Step 3: Cross multiply
    2,144.96x = 2,937.80 × 2,018.84
  4. Step 4: Simplify right side
    2,144.96x = 5,930,948.15
  5. Step 5: Solve for x
    x = 5,930,948.15/2,144.96
  6. Step 6: Final answer
    x = 2,765.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.