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Finding the Fourth Proportional to 2,298, 3,166.69 and 1,633.70

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Solution

The fourth proportional to 2,298, 3,166.69 and 1,633.70 is: 2,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298 : 3,166.69 = 1,633.70 : x
  2. Step 2: Convert to fraction form
    2,298/3,166.69 = 1,633.70/x
  3. Step 3: Cross multiply
    2,298x = 3,166.69 × 1,633.70
  4. Step 4: Simplify right side
    2,298x = 5,173,421.45
  5. Step 5: Solve for x
    x = 5,173,421.45/2,298
  6. Step 6: Final answer
    x = 2,251.27

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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.