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Finding the Fourth Proportional to 2,751.57, 4,124.86 and 996.17

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Solution

The fourth proportional to 2,751.57, 4,124.86 and 996.17 is: 1,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.57 : 4,124.86 = 996.17 : x
  2. Step 2: Convert to fraction form
    2,751.57/4,124.86 = 996.17/x
  3. Step 3: Cross multiply
    2,751.57x = 4,124.86 × 996.17
  4. Step 4: Simplify right side
    2,751.57x = 4,109,038.67
  5. Step 5: Solve for x
    x = 4,109,038.67/2,751.57
  6. Step 6: Final answer
    x = 1,493.34

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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.