Home / 1,582.80-2,181.24-1,375.44

Finding the Fourth Proportional to 1,582.80, 2,181.24 and 1,375.44

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Solution

The fourth proportional to 1,582.80, 2,181.24 and 1,375.44 is: 1,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.80 : 2,181.24 = 1,375.44 : x
  2. Step 2: Convert to fraction form
    1,582.80/2,181.24 = 1,375.44/x
  3. Step 3: Cross multiply
    1,582.80x = 2,181.24 × 1,375.44
  4. Step 4: Simplify right side
    1,582.80x = 3,000,164.75
  5. Step 5: Solve for x
    x = 3,000,164.75/1,582.80
  6. Step 6: Final answer
    x = 1,895.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.