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Finding the Fourth Proportional to 1,661.67, 2,276.50 and 1,599.39

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Solution

The fourth proportional to 1,661.67, 2,276.50 and 1,599.39 is: 2,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.67 : 2,276.50 = 1,599.39 : x
  2. Step 2: Convert to fraction form
    1,661.67/2,276.50 = 1,599.39/x
  3. Step 3: Cross multiply
    1,661.67x = 2,276.50 × 1,599.39
  4. Step 4: Simplify right side
    1,661.67x = 3,641,003.34
  5. Step 5: Solve for x
    x = 3,641,003.34/1,661.67
  6. Step 6: Final answer
    x = 2,191.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.