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Finding the Fourth Proportional to 2,461.53, 3,687.42 and 2,049.33

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Solution

The fourth proportional to 2,461.53, 3,687.42 and 2,049.33 is: 3,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.53 : 3,687.42 = 2,049.33 : x
  2. Step 2: Convert to fraction form
    2,461.53/3,687.42 = 2,049.33/x
  3. Step 3: Cross multiply
    2,461.53x = 3,687.42 × 2,049.33
  4. Step 4: Simplify right side
    2,461.53x = 7,556,740.43
  5. Step 5: Solve for x
    x = 7,556,740.43/2,461.53
  6. Step 6: Final answer
    x = 3,069.94

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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.