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Finding the Fourth Proportional to 2,404.10, 3,605.78 and 760.43

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Solution

The fourth proportional to 2,404.10, 3,605.78 and 760.43 is: 1,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.10 : 3,605.78 = 760.43 : x
  2. Step 2: Convert to fraction form
    2,404.10/3,605.78 = 760.43/x
  3. Step 3: Cross multiply
    2,404.10x = 3,605.78 × 760.43
  4. Step 4: Simplify right side
    2,404.10x = 2,741,945.66
  5. Step 5: Solve for x
    x = 2,741,945.66/2,404.10
  6. Step 6: Final answer
    x = 1,140.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.