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Finding the Fourth Proportional to 2,509.75, 3,459.13 and 2,359.27

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Solution

The fourth proportional to 2,509.75, 3,459.13 and 2,359.27 is: 3,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.75 : 3,459.13 = 2,359.27 : x
  2. Step 2: Convert to fraction form
    2,509.75/3,459.13 = 2,359.27/x
  3. Step 3: Cross multiply
    2,509.75x = 3,459.13 × 2,359.27
  4. Step 4: Simplify right side
    2,509.75x = 8,161,021.64
  5. Step 5: Solve for x
    x = 8,161,021.64/2,509.75
  6. Step 6: Final answer
    x = 3,251.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.