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Finding the Fourth Proportional to 2,082.45, 2,874.96 and 1,661.45

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Solution

The fourth proportional to 2,082.45, 2,874.96 and 1,661.45 is: 2,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.45 : 2,874.96 = 1,661.45 : x
  2. Step 2: Convert to fraction form
    2,082.45/2,874.96 = 1,661.45/x
  3. Step 3: Cross multiply
    2,082.45x = 2,874.96 × 1,661.45
  4. Step 4: Simplify right side
    2,082.45x = 4,776,602.29
  5. Step 5: Solve for x
    x = 4,776,602.29/2,082.45
  6. Step 6: Final answer
    x = 2,293.74

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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.