Home / 2,582.82-3,570.84-2,287.44

Finding the Fourth Proportional to 2,582.82, 3,570.84 and 2,287.44

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Solution

The fourth proportional to 2,582.82, 3,570.84 and 2,287.44 is: 3,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.82 : 3,570.84 = 2,287.44 : x
  2. Step 2: Convert to fraction form
    2,582.82/3,570.84 = 2,287.44/x
  3. Step 3: Cross multiply
    2,582.82x = 3,570.84 × 2,287.44
  4. Step 4: Simplify right side
    2,582.82x = 8,168,082.25
  5. Step 5: Solve for x
    x = 8,168,082.25/2,582.82
  6. Step 6: Final answer
    x = 3,162.47

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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.