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Finding the Fourth Proportional to 2,739.38, 3,780.14 and 1,560.22

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Solution

The fourth proportional to 2,739.38, 3,780.14 and 1,560.22 is: 2,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.38 : 3,780.14 = 1,560.22 : x
  2. Step 2: Convert to fraction form
    2,739.38/3,780.14 = 1,560.22/x
  3. Step 3: Cross multiply
    2,739.38x = 3,780.14 × 1,560.22
  4. Step 4: Simplify right side
    2,739.38x = 5,897,850.03
  5. Step 5: Solve for x
    x = 5,897,850.03/2,739.38
  6. Step 6: Final answer
    x = 2,152.99

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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.