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Finding the Fourth Proportional to 2,447.96, 3,661.89 and 2,037.65

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Solution

The fourth proportional to 2,447.96, 3,661.89 and 2,037.65 is: 3,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.96 : 3,661.89 = 2,037.65 : x
  2. Step 2: Convert to fraction form
    2,447.96/3,661.89 = 2,037.65/x
  3. Step 3: Cross multiply
    2,447.96x = 3,661.89 × 2,037.65
  4. Step 4: Simplify right side
    2,447.96x = 7,461,650.16
  5. Step 5: Solve for x
    x = 7,461,650.16/2,447.96
  6. Step 6: Final answer
    x = 3,048.11

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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.