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Finding the Fourth Proportional to 1,136.22, 1,694.90 and 1,117.44

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Solution

The fourth proportional to 1,136.22, 1,694.90 and 1,117.44 is: 1,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.22 : 1,694.90 = 1,117.44 : x
  2. Step 2: Convert to fraction form
    1,136.22/1,694.90 = 1,117.44/x
  3. Step 3: Cross multiply
    1,136.22x = 1,694.90 × 1,117.44
  4. Step 4: Simplify right side
    1,136.22x = 1,893,949.06
  5. Step 5: Solve for x
    x = 1,893,949.06/1,136.22
  6. Step 6: Final answer
    x = 1,666.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.