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Finding the Fourth Proportional to 3,176.10, 4,383 and 1,778.76

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Solution

The fourth proportional to 3,176.10, 4,383 and 1,778.76 is: 2,454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.10 : 4,383 = 1,778.76 : x
  2. Step 2: Convert to fraction form
    3,176.10/4,383 = 1,778.76/x
  3. Step 3: Cross multiply
    3,176.10x = 4,383 × 1,778.76
  4. Step 4: Simplify right side
    3,176.10x = 7,796,305.08
  5. Step 5: Solve for x
    x = 7,796,305.08/3,176.10
  6. Step 6: Final answer
    x = 2,454.68

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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.