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Finding the Fourth Proportional to 2,129.37, 2,935.89 and 1,342.05

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Solution

The fourth proportional to 2,129.37, 2,935.89 and 1,342.05 is: 1,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.37 : 2,935.89 = 1,342.05 : x
  2. Step 2: Convert to fraction form
    2,129.37/2,935.89 = 1,342.05/x
  3. Step 3: Cross multiply
    2,129.37x = 2,935.89 × 1,342.05
  4. Step 4: Simplify right side
    2,129.37x = 3,940,111.17
  5. Step 5: Solve for x
    x = 3,940,111.17/2,129.37
  6. Step 6: Final answer
    x = 1,850.36

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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.