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Finding the Fourth Proportional to 3,120.92, 4,682.05 and 929.82

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Solution

The fourth proportional to 3,120.92, 4,682.05 and 929.82 is: 1,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.92 : 4,682.05 = 929.82 : x
  2. Step 2: Convert to fraction form
    3,120.92/4,682.05 = 929.82/x
  3. Step 3: Cross multiply
    3,120.92x = 4,682.05 × 929.82
  4. Step 4: Simplify right side
    3,120.92x = 4,353,461.41
  5. Step 5: Solve for x
    x = 4,353,461.41/3,120.92
  6. Step 6: Final answer
    x = 1,394.93

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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.