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Finding the Fourth Proportional to 2,287.14, 3,430.90 and 643.82

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Solution

The fourth proportional to 2,287.14, 3,430.90 and 643.82 is: 965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.14 : 3,430.90 = 643.82 : x
  2. Step 2: Convert to fraction form
    2,287.14/3,430.90 = 643.82/x
  3. Step 3: Cross multiply
    2,287.14x = 3,430.90 × 643.82
  4. Step 4: Simplify right side
    2,287.14x = 2,208,891.42
  5. Step 5: Solve for x
    x = 2,208,891.42/2,287.14
  6. Step 6: Final answer
    x = 965.79

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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.