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Finding the Fourth Proportional to 2,082.66, 3,126.28 and 1,042.38

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Solution

The fourth proportional to 2,082.66, 3,126.28 and 1,042.38 is: 1,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.66 : 3,126.28 = 1,042.38 : x
  2. Step 2: Convert to fraction form
    2,082.66/3,126.28 = 1,042.38/x
  3. Step 3: Cross multiply
    2,082.66x = 3,126.28 × 1,042.38
  4. Step 4: Simplify right side
    2,082.66x = 3,258,771.75
  5. Step 5: Solve for x
    x = 3,258,771.75/2,082.66
  6. Step 6: Final answer
    x = 1,564.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.