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Finding the Fourth Proportional to 1,668.02, 2,301.85 and 921.97

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Solution

The fourth proportional to 1,668.02, 2,301.85 and 921.97 is: 1,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.02 : 2,301.85 = 921.97 : x
  2. Step 2: Convert to fraction form
    1,668.02/2,301.85 = 921.97/x
  3. Step 3: Cross multiply
    1,668.02x = 2,301.85 × 921.97
  4. Step 4: Simplify right side
    1,668.02x = 2,122,232.03
  5. Step 5: Solve for x
    x = 2,122,232.03/1,668.02
  6. Step 6: Final answer
    x = 1,272.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.