Home / 2,275.65-3,416.85-2,164.23

Finding the Fourth Proportional to 2,275.65, 3,416.85 and 2,164.23

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Solution

The fourth proportional to 2,275.65, 3,416.85 and 2,164.23 is: 3,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.65 : 3,416.85 = 2,164.23 : x
  2. Step 2: Convert to fraction form
    2,275.65/3,416.85 = 2,164.23/x
  3. Step 3: Cross multiply
    2,275.65x = 3,416.85 × 2,164.23
  4. Step 4: Simplify right side
    2,275.65x = 7,394,849.28
  5. Step 5: Solve for x
    x = 7,394,849.28/2,275.65
  6. Step 6: Final answer
    x = 3,249.55

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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.