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Finding the Fourth Proportional to 2,048.65, 3,072.98 and 1,171.15

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Solution

The fourth proportional to 2,048.65, 3,072.98 and 1,171.15 is: 1,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.65 : 3,072.98 = 1,171.15 : x
  2. Step 2: Convert to fraction form
    2,048.65/3,072.98 = 1,171.15/x
  3. Step 3: Cross multiply
    2,048.65x = 3,072.98 × 1,171.15
  4. Step 4: Simplify right side
    2,048.65x = 3,598,914.67
  5. Step 5: Solve for x
    x = 3,598,914.67/2,048.65
  6. Step 6: Final answer
    x = 1,756.73

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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.