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Finding the Fourth Proportional to 2,460.36, 3,687.81 and 899.09

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Solution

The fourth proportional to 2,460.36, 3,687.81 and 899.09 is: 1,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.36 : 3,687.81 = 899.09 : x
  2. Step 2: Convert to fraction form
    2,460.36/3,687.81 = 899.09/x
  3. Step 3: Cross multiply
    2,460.36x = 3,687.81 × 899.09
  4. Step 4: Simplify right side
    2,460.36x = 3,315,654.65
  5. Step 5: Solve for x
    x = 3,315,654.65/2,460.36
  6. Step 6: Final answer
    x = 1,347.63

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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.