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Finding the Fourth Proportional to 1,661.56, 2,491.66 and 1,220.07

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Solution

The fourth proportional to 1,661.56, 2,491.66 and 1,220.07 is: 1,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.56 : 2,491.66 = 1,220.07 : x
  2. Step 2: Convert to fraction form
    1,661.56/2,491.66 = 1,220.07/x
  3. Step 3: Cross multiply
    1,661.56x = 2,491.66 × 1,220.07
  4. Step 4: Simplify right side
    1,661.56x = 3,039,999.62
  5. Step 5: Solve for x
    x = 3,039,999.62/1,661.56
  6. Step 6: Final answer
    x = 1,829.61

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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.