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Finding the Fourth Proportional to 2,592.60, 3,861.41 and 2,580.05

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Solution

The fourth proportional to 2,592.60, 3,861.41 and 2,580.05 is: 3,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.60 : 3,861.41 = 2,580.05 : x
  2. Step 2: Convert to fraction form
    2,592.60/3,861.41 = 2,580.05/x
  3. Step 3: Cross multiply
    2,592.60x = 3,861.41 × 2,580.05
  4. Step 4: Simplify right side
    2,592.60x = 9,962,598.66
  5. Step 5: Solve for x
    x = 9,962,598.66/2,592.60
  6. Step 6: Final answer
    x = 3,842.71

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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.