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Finding the Fourth Proportional to 2,782.92, 4,174.34 and 1,117.78

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Solution

The fourth proportional to 2,782.92, 4,174.34 and 1,117.78 is: 1,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.92 : 4,174.34 = 1,117.78 : x
  2. Step 2: Convert to fraction form
    2,782.92/4,174.34 = 1,117.78/x
  3. Step 3: Cross multiply
    2,782.92x = 4,174.34 × 1,117.78
  4. Step 4: Simplify right side
    2,782.92x = 4,665,993.77
  5. Step 5: Solve for x
    x = 4,665,993.77/2,782.92
  6. Step 6: Final answer
    x = 1,676.65

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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.