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Finding the Fourth Proportional to 2,298.69, 3,173.31 and 1,661.22

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Solution

The fourth proportional to 2,298.69, 3,173.31 and 1,661.22 is: 2,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.69 : 3,173.31 = 1,661.22 : x
  2. Step 2: Convert to fraction form
    2,298.69/3,173.31 = 1,661.22/x
  3. Step 3: Cross multiply
    2,298.69x = 3,173.31 × 1,661.22
  4. Step 4: Simplify right side
    2,298.69x = 5,271,566.04
  5. Step 5: Solve for x
    x = 5,271,566.04/2,298.69
  6. Step 6: Final answer
    x = 2,293.29

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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.