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Finding the Fourth Proportional to 2,175.87, 3,002.72 and 1,244.43

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Solution

The fourth proportional to 2,175.87, 3,002.72 and 1,244.43 is: 1,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.87 : 3,002.72 = 1,244.43 : x
  2. Step 2: Convert to fraction form
    2,175.87/3,002.72 = 1,244.43/x
  3. Step 3: Cross multiply
    2,175.87x = 3,002.72 × 1,244.43
  4. Step 4: Simplify right side
    2,175.87x = 3,736,668.63
  5. Step 5: Solve for x
    x = 3,736,668.63/2,175.87
  6. Step 6: Final answer
    x = 1,717.32

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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.