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Finding the Fourth Proportional to 2,782.70, 4,174.37 and 933.95

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Solution

The fourth proportional to 2,782.70, 4,174.37 and 933.95 is: 1,401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.70 : 4,174.37 = 933.95 : x
  2. Step 2: Convert to fraction form
    2,782.70/4,174.37 = 933.95/x
  3. Step 3: Cross multiply
    2,782.70x = 4,174.37 × 933.95
  4. Step 4: Simplify right side
    2,782.70x = 3,898,638.65
  5. Step 5: Solve for x
    x = 3,898,638.65/2,782.70
  6. Step 6: Final answer
    x = 1,401.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.