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Finding the Fourth Proportional to 2,136.89, 2,948.88 and 1,205.39

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Solution

The fourth proportional to 2,136.89, 2,948.88 and 1,205.39 is: 1,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.89 : 2,948.88 = 1,205.39 : x
  2. Step 2: Convert to fraction form
    2,136.89/2,948.88 = 1,205.39/x
  3. Step 3: Cross multiply
    2,136.89x = 2,948.88 × 1,205.39
  4. Step 4: Simplify right side
    2,136.89x = 3,554,550.46
  5. Step 5: Solve for x
    x = 3,554,550.46/2,136.89
  6. Step 6: Final answer
    x = 1,663.42

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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.