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Finding the Fourth Proportional to 2,180.92, 3,005.94 and 1,575.76

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Solution

The fourth proportional to 2,180.92, 3,005.94 and 1,575.76 is: 2,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.92 : 3,005.94 = 1,575.76 : x
  2. Step 2: Convert to fraction form
    2,180.92/3,005.94 = 1,575.76/x
  3. Step 3: Cross multiply
    2,180.92x = 3,005.94 × 1,575.76
  4. Step 4: Simplify right side
    2,180.92x = 4,736,640.01
  5. Step 5: Solve for x
    x = 4,736,640.01/2,180.92
  6. Step 6: Final answer
    x = 2,171.85

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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.