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Finding the Fourth Proportional to 3,178.08, 4,383.84 and 2,295.84

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Solution

The fourth proportional to 3,178.08, 4,383.84 and 2,295.84 is: 3,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.08 : 4,383.84 = 2,295.84 : x
  2. Step 2: Convert to fraction form
    3,178.08/4,383.84 = 2,295.84/x
  3. Step 3: Cross multiply
    3,178.08x = 4,383.84 × 2,295.84
  4. Step 4: Simplify right side
    3,178.08x = 10,064,595.23
  5. Step 5: Solve for x
    x = 10,064,595.23/3,178.08
  6. Step 6: Final answer
    x = 3,166.88

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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.