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Finding the Fourth Proportional to 2,406.49, 3,609.91 and 763.07

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Solution

The fourth proportional to 2,406.49, 3,609.91 and 763.07 is: 1,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.49 : 3,609.91 = 763.07 : x
  2. Step 2: Convert to fraction form
    2,406.49/3,609.91 = 763.07/x
  3. Step 3: Cross multiply
    2,406.49x = 3,609.91 × 763.07
  4. Step 4: Simplify right side
    2,406.49x = 2,754,614.02
  5. Step 5: Solve for x
    x = 2,754,614.02/2,406.49
  6. Step 6: Final answer
    x = 1,144.66

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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.