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Finding the Fourth Proportional to 2,337.49, 3,509.29 and 2,144.07

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Solution

The fourth proportional to 2,337.49, 3,509.29 and 2,144.07 is: 3,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.49 : 3,509.29 = 2,144.07 : x
  2. Step 2: Convert to fraction form
    2,337.49/3,509.29 = 2,144.07/x
  3. Step 3: Cross multiply
    2,337.49x = 3,509.29 × 2,144.07
  4. Step 4: Simplify right side
    2,337.49x = 7,524,163.41
  5. Step 5: Solve for x
    x = 7,524,163.41/2,337.49
  6. Step 6: Final answer
    x = 3,218.91

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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.