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Finding the Fourth Proportional to 2,076.72, 3,108.84 and 1,346.64

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Solution

The fourth proportional to 2,076.72, 3,108.84 and 1,346.64 is: 2,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.72 : 3,108.84 = 1,346.64 : x
  2. Step 2: Convert to fraction form
    2,076.72/3,108.84 = 1,346.64/x
  3. Step 3: Cross multiply
    2,076.72x = 3,108.84 × 1,346.64
  4. Step 4: Simplify right side
    2,076.72x = 4,186,488.30
  5. Step 5: Solve for x
    x = 4,186,488.30/2,076.72
  6. Step 6: Final answer
    x = 2,015.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.