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Finding the Fourth Proportional to 1,833.15, 2,529.75 and 993.85

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Solution

The fourth proportional to 1,833.15, 2,529.75 and 993.85 is: 1,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.15 : 2,529.75 = 993.85 : x
  2. Step 2: Convert to fraction form
    1,833.15/2,529.75 = 993.85/x
  3. Step 3: Cross multiply
    1,833.15x = 2,529.75 × 993.85
  4. Step 4: Simplify right side
    1,833.15x = 2,514,187.07
  5. Step 5: Solve for x
    x = 2,514,187.07/1,833.15
  6. Step 6: Final answer
    x = 1,371.51

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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.