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Finding the Fourth Proportional to 2,782.91, 4,174.35 and 1,117.78

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Solution

The fourth proportional to 2,782.91, 4,174.35 and 1,117.78 is: 1,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.91 : 4,174.35 = 1,117.78 : x
  2. Step 2: Convert to fraction form
    2,782.91/4,174.35 = 1,117.78/x
  3. Step 3: Cross multiply
    2,782.91x = 4,174.35 × 1,117.78
  4. Step 4: Simplify right side
    2,782.91x = 4,666,004.94
  5. Step 5: Solve for x
    x = 4,666,004.94/2,782.91
  6. Step 6: Final answer
    x = 1,676.66

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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.