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Finding the Fourth Proportional to 2,005.65, 3,014.01 and 1,751.73

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Solution

The fourth proportional to 2,005.65, 3,014.01 and 1,751.73 is: 2,632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.65 : 3,014.01 = 1,751.73 : x
  2. Step 2: Convert to fraction form
    2,005.65/3,014.01 = 1,751.73/x
  3. Step 3: Cross multiply
    2,005.65x = 3,014.01 × 1,751.73
  4. Step 4: Simplify right side
    2,005.65x = 5,279,731.74
  5. Step 5: Solve for x
    x = 5,279,731.74/2,005.65
  6. Step 6: Final answer
    x = 2,632.43

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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.