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Finding the Fourth Proportional to 2,922.88, 4,031.88 and 1,744.24

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Solution

The fourth proportional to 2,922.88, 4,031.88 and 1,744.24 is: 2,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.88 : 4,031.88 = 1,744.24 : x
  2. Step 2: Convert to fraction form
    2,922.88/4,031.88 = 1,744.24/x
  3. Step 3: Cross multiply
    2,922.88x = 4,031.88 × 1,744.24
  4. Step 4: Simplify right side
    2,922.88x = 7,032,566.37
  5. Step 5: Solve for x
    x = 7,032,566.37/2,922.88
  6. Step 6: Final answer
    x = 2,406.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.