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Finding the Fourth Proportional to 2,979.75, 4,112.07 and 1,653.66

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Solution

The fourth proportional to 2,979.75, 4,112.07 and 1,653.66 is: 2,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.75 : 4,112.07 = 1,653.66 : x
  2. Step 2: Convert to fraction form
    2,979.75/4,112.07 = 1,653.66/x
  3. Step 3: Cross multiply
    2,979.75x = 4,112.07 × 1,653.66
  4. Step 4: Simplify right side
    2,979.75x = 6,799,965.68
  5. Step 5: Solve for x
    x = 6,799,965.68/2,979.75
  6. Step 6: Final answer
    x = 2,282.06

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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.