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Finding the Fourth Proportional to 2,402.99, 3,609.61 and 2,262.54

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Solution

The fourth proportional to 2,402.99, 3,609.61 and 2,262.54 is: 3,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.99 : 3,609.61 = 2,262.54 : x
  2. Step 2: Convert to fraction form
    2,402.99/3,609.61 = 2,262.54/x
  3. Step 3: Cross multiply
    2,402.99x = 3,609.61 × 2,262.54
  4. Step 4: Simplify right side
    2,402.99x = 8,166,901.25
  5. Step 5: Solve for x
    x = 8,166,901.25/2,402.99
  6. Step 6: Final answer
    x = 3,398.64

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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.