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Finding the Fourth Proportional to 3,082, 4,623 and 1,258

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Solution

The fourth proportional to 3,082, 4,623 and 1,258 is: 1,887

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082 : 4,623 = 1,258 : x
  2. Step 2: Convert to fraction form
    3,082/4,623 = 1,258/x
  3. Step 3: Cross multiply
    3,082x = 4,623 × 1,258
  4. Step 4: Simplify right side
    3,082x = 5,815,734
  5. Step 5: Solve for x
    x = 5,815,734/3,082
  6. Step 6: Final answer
    x = 1,887

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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.