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Finding the Fourth Proportional to 1,661.97, 2,293.20 and 1,072.47

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Solution

The fourth proportional to 1,661.97, 2,293.20 and 1,072.47 is: 1,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.97 : 2,293.20 = 1,072.47 : x
  2. Step 2: Convert to fraction form
    1,661.97/2,293.20 = 1,072.47/x
  3. Step 3: Cross multiply
    1,661.97x = 2,293.20 × 1,072.47
  4. Step 4: Simplify right side
    1,661.97x = 2,459,388.20
  5. Step 5: Solve for x
    x = 2,459,388.20/1,661.97
  6. Step 6: Final answer
    x = 1,479.80

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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.