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Finding the Fourth Proportional to 2,597.41, 3,902.60 and 2,053.09

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Solution

The fourth proportional to 2,597.41, 3,902.60 and 2,053.09 is: 3,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.41 : 3,902.60 = 2,053.09 : x
  2. Step 2: Convert to fraction form
    2,597.41/3,902.60 = 2,053.09/x
  3. Step 3: Cross multiply
    2,597.41x = 3,902.60 × 2,053.09
  4. Step 4: Simplify right side
    2,597.41x = 8,012,389.03
  5. Step 5: Solve for x
    x = 8,012,389.03/2,597.41
  6. Step 6: Final answer
    x = 3,084.76

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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.