Home / 1,924.26-2,892.80-1,580.15

Finding the Fourth Proportional to 1,924.26, 2,892.80 and 1,580.15

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Solution

The fourth proportional to 1,924.26, 2,892.80 and 1,580.15 is: 2,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.26 : 2,892.80 = 1,580.15 : x
  2. Step 2: Convert to fraction form
    1,924.26/2,892.80 = 1,580.15/x
  3. Step 3: Cross multiply
    1,924.26x = 2,892.80 × 1,580.15
  4. Step 4: Simplify right side
    1,924.26x = 4,571,035.56
  5. Step 5: Solve for x
    x = 4,571,035.56/1,924.26
  6. Step 6: Final answer
    x = 2,375.48

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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.