Home / 2,546.53-3,820.45-1,159.20

Finding the Fourth Proportional to 2,546.53, 3,820.45 and 1,159.20

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Solution

The fourth proportional to 2,546.53, 3,820.45 and 1,159.20 is: 1,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.53 : 3,820.45 = 1,159.20 : x
  2. Step 2: Convert to fraction form
    2,546.53/3,820.45 = 1,159.20/x
  3. Step 3: Cross multiply
    2,546.53x = 3,820.45 × 1,159.20
  4. Step 4: Simplify right side
    2,546.53x = 4,428,665.64
  5. Step 5: Solve for x
    x = 4,428,665.64/2,546.53
  6. Step 6: Final answer
    x = 1,739.10

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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.