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Finding the Fourth Proportional to 1,833.98, 2,532.96 and 1,243.49

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Solution

The fourth proportional to 1,833.98, 2,532.96 and 1,243.49 is: 1,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.98 : 2,532.96 = 1,243.49 : x
  2. Step 2: Convert to fraction form
    1,833.98/2,532.96 = 1,243.49/x
  3. Step 3: Cross multiply
    1,833.98x = 2,532.96 × 1,243.49
  4. Step 4: Simplify right side
    1,833.98x = 3,149,697.77
  5. Step 5: Solve for x
    x = 3,149,697.77/1,833.98
  6. Step 6: Final answer
    x = 1,717.42

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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.