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Finding the Fourth Proportional to 1,668.47, 2,302.36 and 996.26

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Solution

The fourth proportional to 1,668.47, 2,302.36 and 996.26 is: 1,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.47 : 2,302.36 = 996.26 : x
  2. Step 2: Convert to fraction form
    1,668.47/2,302.36 = 996.26/x
  3. Step 3: Cross multiply
    1,668.47x = 2,302.36 × 996.26
  4. Step 4: Simplify right side
    1,668.47x = 2,293,735.17
  5. Step 5: Solve for x
    x = 2,293,735.17/1,668.47
  6. Step 6: Final answer
    x = 1,374.76

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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.