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Finding the Fourth Proportional to 1,534.41, 2,301.60 and 668.73

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Solution

The fourth proportional to 1,534.41, 2,301.60 and 668.73 is: 1,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.41 : 2,301.60 = 668.73 : x
  2. Step 2: Convert to fraction form
    1,534.41/2,301.60 = 668.73/x
  3. Step 3: Cross multiply
    1,534.41x = 2,301.60 × 668.73
  4. Step 4: Simplify right side
    1,534.41x = 1,539,148.97
  5. Step 5: Solve for x
    x = 1,539,148.97/1,534.41
  6. Step 6: Final answer
    x = 1,003.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.