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Finding the Fourth Proportional to 2,716.40, 4,076.40 and 1,546.40

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Solution

The fourth proportional to 2,716.40, 4,076.40 and 1,546.40 is: 2,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.40 : 4,076.40 = 1,546.40 : x
  2. Step 2: Convert to fraction form
    2,716.40/4,076.40 = 1,546.40/x
  3. Step 3: Cross multiply
    2,716.40x = 4,076.40 × 1,546.40
  4. Step 4: Simplify right side
    2,716.40x = 6,303,744.96
  5. Step 5: Solve for x
    x = 6,303,744.96/2,716.40
  6. Step 6: Final answer
    x = 2,320.62

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Why These Related Problems?

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