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Finding the Fourth Proportional to 2,580.73, 3,845.70 and 2,424.89

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Solution

The fourth proportional to 2,580.73, 3,845.70 and 2,424.89 is: 3,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.73 : 3,845.70 = 2,424.89 : x
  2. Step 2: Convert to fraction form
    2,580.73/3,845.70 = 2,424.89/x
  3. Step 3: Cross multiply
    2,580.73x = 3,845.70 × 2,424.89
  4. Step 4: Simplify right side
    2,580.73x = 9,325,399.47
  5. Step 5: Solve for x
    x = 9,325,399.47/2,580.73
  6. Step 6: Final answer
    x = 3,613.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.