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Finding the Fourth Proportional to 2,301.63, 3,452.98 and 762.63

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Solution

The fourth proportional to 2,301.63, 3,452.98 and 762.63 is: 1,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.63 : 3,452.98 = 762.63 : x
  2. Step 2: Convert to fraction form
    2,301.63/3,452.98 = 762.63/x
  3. Step 3: Cross multiply
    2,301.63x = 3,452.98 × 762.63
  4. Step 4: Simplify right side
    2,301.63x = 2,633,346.14
  5. Step 5: Solve for x
    x = 2,633,346.14/2,301.63
  6. Step 6: Final answer
    x = 1,144.12

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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.