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Finding the Fourth Proportional to 2,778.29, 4,166.51 and 928.85

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Solution

The fourth proportional to 2,778.29, 4,166.51 and 928.85 is: 1,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.29 : 4,166.51 = 928.85 : x
  2. Step 2: Convert to fraction form
    2,778.29/4,166.51 = 928.85/x
  3. Step 3: Cross multiply
    2,778.29x = 4,166.51 × 928.85
  4. Step 4: Simplify right side
    2,778.29x = 3,870,037.34
  5. Step 5: Solve for x
    x = 3,870,037.34/2,778.29
  6. Step 6: Final answer
    x = 1,392.96

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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.