Home / 1,546.88-2,314.80-1,343.84

Finding the Fourth Proportional to 1,546.88, 2,314.80 and 1,343.84

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Solution

The fourth proportional to 1,546.88, 2,314.80 and 1,343.84 is: 2,010.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.88 : 2,314.80 = 1,343.84 : x
  2. Step 2: Convert to fraction form
    1,546.88/2,314.80 = 1,343.84/x
  3. Step 3: Cross multiply
    1,546.88x = 2,314.80 × 1,343.84
  4. Step 4: Simplify right side
    1,546.88x = 3,110,720.83
  5. Step 5: Solve for x
    x = 3,110,720.83/1,546.88
  6. Step 6: Final answer
    x = 2,010.96

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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.