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Finding the Fourth Proportional to 1,661.67, 2,291.22 and 1,506.15

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Solution

The fourth proportional to 1,661.67, 2,291.22 and 1,506.15 is: 2,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.67 : 2,291.22 = 1,506.15 : x
  2. Step 2: Convert to fraction form
    1,661.67/2,291.22 = 1,506.15/x
  3. Step 3: Cross multiply
    1,661.67x = 2,291.22 × 1,506.15
  4. Step 4: Simplify right side
    1,661.67x = 3,450,921.00
  5. Step 5: Solve for x
    x = 3,450,921.00/1,661.67
  6. Step 6: Final answer
    x = 2,076.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.