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Finding the Fourth Proportional to 2,782.86, 4,174.45 and 933.82

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Solution

The fourth proportional to 2,782.86, 4,174.45 and 933.82 is: 1,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.86 : 4,174.45 = 933.82 : x
  2. Step 2: Convert to fraction form
    2,782.86/4,174.45 = 933.82/x
  3. Step 3: Cross multiply
    2,782.86x = 4,174.45 × 933.82
  4. Step 4: Simplify right side
    2,782.86x = 3,898,184.90
  5. Step 5: Solve for x
    x = 3,898,184.90/2,782.86
  6. Step 6: Final answer
    x = 1,400.78

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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.