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Finding the Fourth Proportional to 2,134.64, 2,939.92 and 1,839.80

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Solution

The fourth proportional to 2,134.64, 2,939.92 and 1,839.80 is: 2,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.64 : 2,939.92 = 1,839.80 : x
  2. Step 2: Convert to fraction form
    2,134.64/2,939.92 = 1,839.80/x
  3. Step 3: Cross multiply
    2,134.64x = 2,939.92 × 1,839.80
  4. Step 4: Simplify right side
    2,134.64x = 5,408,864.82
  5. Step 5: Solve for x
    x = 5,408,864.82/2,134.64
  6. Step 6: Final answer
    x = 2,533.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.