Home / 1,578.40-2,365.68-1,382.88

Finding the Fourth Proportional to 1,578.40, 2,365.68 and 1,382.88

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Solution

The fourth proportional to 1,578.40, 2,365.68 and 1,382.88 is: 2,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.40 : 2,365.68 = 1,382.88 : x
  2. Step 2: Convert to fraction form
    1,578.40/2,365.68 = 1,382.88/x
  3. Step 3: Cross multiply
    1,578.40x = 2,365.68 × 1,382.88
  4. Step 4: Simplify right side
    1,578.40x = 3,271,451.56
  5. Step 5: Solve for x
    x = 3,271,451.56/1,578.40
  6. Step 6: Final answer
    x = 2,072.64

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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.