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Finding the Fourth Proportional to 2,123.37, 3,163.16 and 2,058.89

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Solution

The fourth proportional to 2,123.37, 3,163.16 and 2,058.89 is: 3,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.37 : 3,163.16 = 2,058.89 : x
  2. Step 2: Convert to fraction form
    2,123.37/3,163.16 = 2,058.89/x
  3. Step 3: Cross multiply
    2,123.37x = 3,163.16 × 2,058.89
  4. Step 4: Simplify right side
    2,123.37x = 6,512,598.49
  5. Step 5: Solve for x
    x = 6,512,598.49/2,123.37
  6. Step 6: Final answer
    x = 3,067.10

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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.