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Finding the Fourth Proportional to 2,127.33, 3,175.74 and 1,850.49

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Solution

The fourth proportional to 2,127.33, 3,175.74 and 1,850.49 is: 2,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.33 : 3,175.74 = 1,850.49 : x
  2. Step 2: Convert to fraction form
    2,127.33/3,175.74 = 1,850.49/x
  3. Step 3: Cross multiply
    2,127.33x = 3,175.74 × 1,850.49
  4. Step 4: Simplify right side
    2,127.33x = 5,876,675.11
  5. Step 5: Solve for x
    x = 5,876,675.11/2,127.33
  6. Step 6: Final answer
    x = 2,762.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.