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Finding the Fourth Proportional to 1,833.24, 2,529.89 and 993.95

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Solution

The fourth proportional to 1,833.24, 2,529.89 and 993.95 is: 1,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.24 : 2,529.89 = 993.95 : x
  2. Step 2: Convert to fraction form
    1,833.24/2,529.89 = 993.95/x
  3. Step 3: Cross multiply
    1,833.24x = 2,529.89 × 993.95
  4. Step 4: Simplify right side
    1,833.24x = 2,514,584.17
  5. Step 5: Solve for x
    x = 2,514,584.17/1,833.24
  6. Step 6: Final answer
    x = 1,371.66

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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.