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Finding the Fourth Proportional to 2,175.39, 3,000.24 and 1,650.51

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Solution

The fourth proportional to 2,175.39, 3,000.24 and 1,650.51 is: 2,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.39 : 3,000.24 = 1,650.51 : x
  2. Step 2: Convert to fraction form
    2,175.39/3,000.24 = 1,650.51/x
  3. Step 3: Cross multiply
    2,175.39x = 3,000.24 × 1,650.51
  4. Step 4: Simplify right side
    2,175.39x = 4,951,926.12
  5. Step 5: Solve for x
    x = 4,951,926.12/2,175.39
  6. Step 6: Final answer
    x = 2,276.34

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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.