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Finding the Fourth Proportional to 2,605.20, 3,902.40 and 1,724.88

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Solution

The fourth proportional to 2,605.20, 3,902.40 and 1,724.88 is: 2,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.20 : 3,902.40 = 1,724.88 : x
  2. Step 2: Convert to fraction form
    2,605.20/3,902.40 = 1,724.88/x
  3. Step 3: Cross multiply
    2,605.20x = 3,902.40 × 1,724.88
  4. Step 4: Simplify right side
    2,605.20x = 6,731,171.71
  5. Step 5: Solve for x
    x = 6,731,171.71/2,605.20
  6. Step 6: Final answer
    x = 2,583.74

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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.