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Finding the Fourth Proportional to 2,276, 3,139.85 and 1,391.64

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Solution

The fourth proportional to 2,276, 3,139.85 and 1,391.64 is: 1,919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276 : 3,139.85 = 1,391.64 : x
  2. Step 2: Convert to fraction form
    2,276/3,139.85 = 1,391.64/x
  3. Step 3: Cross multiply
    2,276x = 3,139.85 × 1,391.64
  4. Step 4: Simplify right side
    2,276x = 4,369,540.85
  5. Step 5: Solve for x
    x = 4,369,540.85/2,276
  6. Step 6: Final answer
    x = 1,919.83

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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.