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Finding the Fourth Proportional to 2,509.09, 3,767.31 and 2,464.79

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Solution

The fourth proportional to 2,509.09, 3,767.31 and 2,464.79 is: 3,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.09 : 3,767.31 = 2,464.79 : x
  2. Step 2: Convert to fraction form
    2,509.09/3,767.31 = 2,464.79/x
  3. Step 3: Cross multiply
    2,509.09x = 3,767.31 × 2,464.79
  4. Step 4: Simplify right side
    2,509.09x = 9,285,646.07
  5. Step 5: Solve for x
    x = 9,285,646.07/2,509.09
  6. Step 6: Final answer
    x = 3,700.80

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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.