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Finding the Fourth Proportional to 1,668.67, 2,302.75 and 922.63

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Solution

The fourth proportional to 1,668.67, 2,302.75 and 922.63 is: 1,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.67 : 2,302.75 = 922.63 : x
  2. Step 2: Convert to fraction form
    1,668.67/2,302.75 = 922.63/x
  3. Step 3: Cross multiply
    1,668.67x = 2,302.75 × 922.63
  4. Step 4: Simplify right side
    1,668.67x = 2,124,586.23
  5. Step 5: Solve for x
    x = 2,124,586.23/1,668.67
  6. Step 6: Final answer
    x = 1,273.22

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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.