Home / 2,154.30-3,231.45-1,463.10

Finding the Fourth Proportional to 2,154.30, 3,231.45 and 1,463.10

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Solution

The fourth proportional to 2,154.30, 3,231.45 and 1,463.10 is: 2,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.30 : 3,231.45 = 1,463.10 : x
  2. Step 2: Convert to fraction form
    2,154.30/3,231.45 = 1,463.10/x
  3. Step 3: Cross multiply
    2,154.30x = 3,231.45 × 1,463.10
  4. Step 4: Simplify right side
    2,154.30x = 4,727,934.50
  5. Step 5: Solve for x
    x = 4,727,934.50/2,154.30
  6. Step 6: Final answer
    x = 2,194.65

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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.